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Finding the Fourth Proportional to 15,925.71, 21,977.27 and 9,211.20

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Solution

The fourth proportional to 15,925.71, 21,977.27 and 9,211.20 is: 12,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,925.71 : 21,977.27 = 9,211.20 : x
  2. Step 2: Convert to fraction form
    15,925.71/21,977.27 = 9,211.20/x
  3. Step 3: Cross multiply
    15,925.71x = 21,977.27 × 9,211.20
  4. Step 4: Simplify right side
    15,925.71x = 202,437,110.93
  5. Step 5: Solve for x
    x = 202,437,110.93/15,925.71
  6. Step 6: Final answer
    x = 12,711.34

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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.