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Finding the Fourth Proportional to 23,307.71, 32,166.96 and 14,232.57

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Solution

The fourth proportional to 23,307.71, 32,166.96 and 14,232.57 is: 19,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307.71 : 32,166.96 = 14,232.57 : x
  2. Step 2: Convert to fraction form
    23,307.71/32,166.96 = 14,232.57/x
  3. Step 3: Cross multiply
    23,307.71x = 32,166.96 × 14,232.57
  4. Step 4: Simplify right side
    23,307.71x = 457,818,603.47
  5. Step 5: Solve for x
    x = 457,818,603.47/23,307.71
  6. Step 6: Final answer
    x = 19,642.37

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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.