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Finding the Fourth Proportional to 21,332.52, 31,995.14 and 5,746.50

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Solution

The fourth proportional to 21,332.52, 31,995.14 and 5,746.50 is: 8,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.52 : 31,995.14 = 5,746.50 : x
  2. Step 2: Convert to fraction form
    21,332.52/31,995.14 = 5,746.50/x
  3. Step 3: Cross multiply
    21,332.52x = 31,995.14 × 5,746.50
  4. Step 4: Simplify right side
    21,332.52x = 183,860,043.28
  5. Step 5: Solve for x
    x = 183,860,043.28/21,332.52
  6. Step 6: Final answer
    x = 8,618.77

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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.