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Finding the Fourth Proportional to 14,107.61, 19,459.19 and 9,063.87

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Solution

The fourth proportional to 14,107.61, 19,459.19 and 9,063.87 is: 12,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.61 : 19,459.19 = 9,063.87 : x
  2. Step 2: Convert to fraction form
    14,107.61/19,459.19 = 9,063.87/x
  3. Step 3: Cross multiply
    14,107.61x = 19,459.19 × 9,063.87
  4. Step 4: Simplify right side
    14,107.61x = 176,375,523.15
  5. Step 5: Solve for x
    x = 176,375,523.15/14,107.61
  6. Step 6: Final answer
    x = 12,502.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.