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Finding the Fourth Proportional to 14,782.56, 22,165.66 and 10,107.82

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Solution

The fourth proportional to 14,782.56, 22,165.66 and 10,107.82 is: 15,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.56 : 22,165.66 = 10,107.82 : x
  2. Step 2: Convert to fraction form
    14,782.56/22,165.66 = 10,107.82/x
  3. Step 3: Cross multiply
    14,782.56x = 22,165.66 × 10,107.82
  4. Step 4: Simplify right side
    14,782.56x = 224,046,501.46
  5. Step 5: Solve for x
    x = 224,046,501.46/14,782.56
  6. Step 6: Final answer
    x = 15,156.14

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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.