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Finding the Fourth Proportional to 24,688.50, 34,070.40 and 13,510.50

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Solution

The fourth proportional to 24,688.50, 34,070.40 and 13,510.50 is: 18,644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.50 : 34,070.40 = 13,510.50 : x
  2. Step 2: Convert to fraction form
    24,688.50/34,070.40 = 13,510.50/x
  3. Step 3: Cross multiply
    24,688.50x = 34,070.40 × 13,510.50
  4. Step 4: Simplify right side
    24,688.50x = 460,308,139.20
  5. Step 5: Solve for x
    x = 460,308,139.20/24,688.50
  6. Step 6: Final answer
    x = 18,644.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.