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Finding the Fourth Proportional to 14,969.71, 20,658.45 and 9,000.24

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Solution

The fourth proportional to 14,969.71, 20,658.45 and 9,000.24 is: 12,420.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.71 : 20,658.45 = 9,000.24 : x
  2. Step 2: Convert to fraction form
    14,969.71/20,658.45 = 9,000.24/x
  3. Step 3: Cross multiply
    14,969.71x = 20,658.45 × 9,000.24
  4. Step 4: Simplify right side
    14,969.71x = 185,931,008.03
  5. Step 5: Solve for x
    x = 185,931,008.03/14,969.71
  6. Step 6: Final answer
    x = 12,420.48

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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.