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Finding the Fourth Proportional to 14,140.66, 19,535.07 and 9,306.78

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Solution

The fourth proportional to 14,140.66, 19,535.07 and 9,306.78 is: 12,857.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.66 : 19,535.07 = 9,306.78 : x
  2. Step 2: Convert to fraction form
    14,140.66/19,535.07 = 9,306.78/x
  3. Step 3: Cross multiply
    14,140.66x = 19,535.07 × 9,306.78
  4. Step 4: Simplify right side
    14,140.66x = 181,808,598.77
  5. Step 5: Solve for x
    x = 181,808,598.77/14,140.66
  6. Step 6: Final answer
    x = 12,857.15

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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.