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Finding the Fourth Proportional to 24,872.40, 37,312.65 and 7,344.00

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Solution

The fourth proportional to 24,872.40, 37,312.65 and 7,344.00 is: 11,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,872.40 : 37,312.65 = 7,344.00 : x
  2. Step 2: Convert to fraction form
    24,872.40/37,312.65 = 7,344.00/x
  3. Step 3: Cross multiply
    24,872.40x = 37,312.65 × 7,344.00
  4. Step 4: Simplify right side
    24,872.40x = 274,023,878.32
  5. Step 5: Solve for x
    x = 274,023,878.32/24,872.40
  6. Step 6: Final answer
    x = 11,017.19

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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.