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Finding the Fourth Proportional to 23,156.19, 31,957.01 and 14,202.47

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Solution

The fourth proportional to 23,156.19, 31,957.01 and 14,202.47 is: 19,600.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.19 : 31,957.01 = 14,202.47 : x
  2. Step 2: Convert to fraction form
    23,156.19/31,957.01 = 14,202.47/x
  3. Step 3: Cross multiply
    23,156.19x = 31,957.01 × 14,202.47
  4. Step 4: Simplify right side
    23,156.19x = 453,868,404.80
  5. Step 5: Solve for x
    x = 453,868,404.80/23,156.19
  6. Step 6: Final answer
    x = 19,600.31

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