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Finding the Fourth Proportional to 28,368, 42,560.10 and 9,652.14

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Solution

The fourth proportional to 28,368, 42,560.10 and 9,652.14 is: 14,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,368 : 42,560.10 = 9,652.14 : x
  2. Step 2: Convert to fraction form
    28,368/42,560.10 = 9,652.14/x
  3. Step 3: Cross multiply
    28,368x = 42,560.10 × 9,652.14
  4. Step 4: Simplify right side
    28,368x = 410,796,043.61
  5. Step 5: Solve for x
    x = 410,796,043.61/28,368
  6. Step 6: Final answer
    x = 14,480.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.