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Finding the Fourth Proportional to 15,031.92, 22,518.72 and 11,076

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Solution

The fourth proportional to 15,031.92, 22,518.72 and 11,076 is: 16,592.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031.92 : 22,518.72 = 11,076 : x
  2. Step 2: Convert to fraction form
    15,031.92/22,518.72 = 11,076/x
  3. Step 3: Cross multiply
    15,031.92x = 22,518.72 × 11,076
  4. Step 4: Simplify right side
    15,031.92x = 249,417,342.72
  5. Step 5: Solve for x
    x = 249,417,342.72/15,031.92
  6. Step 6: Final answer
    x = 16,592.51

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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.