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Finding the Fourth Proportional to 24,482.52, 36,696.24 and 10,454.40

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Solution

The fourth proportional to 24,482.52, 36,696.24 and 10,454.40 is: 15,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.52 : 36,696.24 = 10,454.40 : x
  2. Step 2: Convert to fraction form
    24,482.52/36,696.24 = 10,454.40/x
  3. Step 3: Cross multiply
    24,482.52x = 36,696.24 × 10,454.40
  4. Step 4: Simplify right side
    24,482.52x = 383,637,171.46
  5. Step 5: Solve for x
    x = 383,637,171.46/24,482.52
  6. Step 6: Final answer
    x = 15,669.84

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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.