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Finding the Fourth Proportional to 15,585.69, 21,508.11 and 8,512.14

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Solution

The fourth proportional to 15,585.69, 21,508.11 and 8,512.14 is: 11,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,585.69 : 21,508.11 = 8,512.14 : x
  2. Step 2: Convert to fraction form
    15,585.69/21,508.11 = 8,512.14/x
  3. Step 3: Cross multiply
    15,585.69x = 21,508.11 × 8,512.14
  4. Step 4: Simplify right side
    15,585.69x = 183,080,043.46
  5. Step 5: Solve for x
    x = 183,080,043.46/15,585.69
  6. Step 6: Final answer
    x = 11,746.68

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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.