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Finding the Fourth Proportional to 23,497.01, 32,430.59 and 13,942.20

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Solution

The fourth proportional to 23,497.01, 32,430.59 and 13,942.20 is: 19,243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.01 : 32,430.59 = 13,942.20 : x
  2. Step 2: Convert to fraction form
    23,497.01/32,430.59 = 13,942.20/x
  3. Step 3: Cross multiply
    23,497.01x = 32,430.59 × 13,942.20
  4. Step 4: Simplify right side
    23,497.01x = 452,153,702.19
  5. Step 5: Solve for x
    x = 452,153,702.19/23,497.01
  6. Step 6: Final answer
    x = 19,243.04

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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.