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Finding the Fourth Proportional to 12,356.10, 18,534.24 and 9,887.76

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Solution

The fourth proportional to 12,356.10, 18,534.24 and 9,887.76 is: 14,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.10 : 18,534.24 = 9,887.76 : x
  2. Step 2: Convert to fraction form
    12,356.10/18,534.24 = 9,887.76/x
  3. Step 3: Cross multiply
    12,356.10x = 18,534.24 × 9,887.76
  4. Step 4: Simplify right side
    12,356.10x = 183,262,116.90
  5. Step 5: Solve for x
    x = 183,262,116.90/12,356.10
  6. Step 6: Final answer
    x = 14,831.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.