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Finding the Fourth Proportional to 12,386.92, 18,575.70 and 7,700.08

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Solution

The fourth proportional to 12,386.92, 18,575.70 and 7,700.08 is: 11,547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.92 : 18,575.70 = 7,700.08 : x
  2. Step 2: Convert to fraction form
    12,386.92/18,575.70 = 7,700.08/x
  3. Step 3: Cross multiply
    12,386.92x = 18,575.70 × 7,700.08
  4. Step 4: Simplify right side
    12,386.92x = 143,034,376.06
  5. Step 5: Solve for x
    x = 143,034,376.06/12,386.92
  6. Step 6: Final answer
    x = 11,547.21

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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.