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Finding the Fourth Proportional to 15,688.47, 21,650.16 and 8,974.17

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Solution

The fourth proportional to 15,688.47, 21,650.16 and 8,974.17 is: 12,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.47 : 21,650.16 = 8,974.17 : x
  2. Step 2: Convert to fraction form
    15,688.47/21,650.16 = 8,974.17/x
  3. Step 3: Cross multiply
    15,688.47x = 21,650.16 × 8,974.17
  4. Step 4: Simplify right side
    15,688.47x = 194,292,216.37
  5. Step 5: Solve for x
    x = 194,292,216.37/15,688.47
  6. Step 6: Final answer
    x = 12,384.40

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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.