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Finding the Fourth Proportional to 19,689.38, 29,547.74 and 8,002.61

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Solution

The fourth proportional to 19,689.38, 29,547.74 and 8,002.61 is: 12,009.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.38 : 29,547.74 = 8,002.61 : x
  2. Step 2: Convert to fraction form
    19,689.38/29,547.74 = 8,002.61/x
  3. Step 3: Cross multiply
    19,689.38x = 29,547.74 × 8,002.61
  4. Step 4: Simplify right side
    19,689.38x = 236,458,911.87
  5. Step 5: Solve for x
    x = 236,458,911.87/19,689.38
  6. Step 6: Final answer
    x = 12,009.47

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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.