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Finding the Fourth Proportional to 12,870.59, 17,764.92 and 7,567.13

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Solution

The fourth proportional to 12,870.59, 17,764.92 and 7,567.13 is: 10,444.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.59 : 17,764.92 = 7,567.13 : x
  2. Step 2: Convert to fraction form
    12,870.59/17,764.92 = 7,567.13/x
  3. Step 3: Cross multiply
    12,870.59x = 17,764.92 × 7,567.13
  4. Step 4: Simplify right side
    12,870.59x = 134,429,459.08
  5. Step 5: Solve for x
    x = 134,429,459.08/12,870.59
  6. Step 6: Final answer
    x = 10,444.70

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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.