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Finding the Fourth Proportional to 14,443.86, 19,932.57 and 8,156.10

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Solution

The fourth proportional to 14,443.86, 19,932.57 and 8,156.10 is: 11,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.86 : 19,932.57 = 8,156.10 : x
  2. Step 2: Convert to fraction form
    14,443.86/19,932.57 = 8,156.10/x
  3. Step 3: Cross multiply
    14,443.86x = 19,932.57 × 8,156.10
  4. Step 4: Simplify right side
    14,443.86x = 162,572,034.18
  5. Step 5: Solve for x
    x = 162,572,034.18/14,443.86
  6. Step 6: Final answer
    x = 11,255.44

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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.