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Finding the Fourth Proportional to 10,221.70, 15,332.55 and 3,655.30

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Solution

The fourth proportional to 10,221.70, 15,332.55 and 3,655.30 is: 5,482.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.70 : 15,332.55 = 3,655.30 : x
  2. Step 2: Convert to fraction form
    10,221.70/15,332.55 = 3,655.30/x
  3. Step 3: Cross multiply
    10,221.70x = 15,332.55 × 3,655.30
  4. Step 4: Simplify right side
    10,221.70x = 56,045,070.02
  5. Step 5: Solve for x
    x = 56,045,070.02/10,221.70
  6. Step 6: Final answer
    x = 5,482.95

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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.