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Finding the Fourth Proportional to 13,386.64, 20,042.88 and 10,089.76

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Solution

The fourth proportional to 13,386.64, 20,042.88 and 10,089.76 is: 15,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.64 : 20,042.88 = 10,089.76 : x
  2. Step 2: Convert to fraction form
    13,386.64/20,042.88 = 10,089.76/x
  3. Step 3: Cross multiply
    13,386.64x = 20,042.88 × 10,089.76
  4. Step 4: Simplify right side
    13,386.64x = 202,227,848.91
  5. Step 5: Solve for x
    x = 202,227,848.91/13,386.64
  6. Step 6: Final answer
    x = 15,106.69

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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.