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Finding the Fourth Proportional to 24,376.04, 36,565.43 and 6,844.50

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Solution

The fourth proportional to 24,376.04, 36,565.43 and 6,844.50 is: 10,267.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.04 : 36,565.43 = 6,844.50 : x
  2. Step 2: Convert to fraction form
    24,376.04/36,565.43 = 6,844.50/x
  3. Step 3: Cross multiply
    24,376.04x = 36,565.43 × 6,844.50
  4. Step 4: Simplify right side
    24,376.04x = 250,272,051.41
  5. Step 5: Solve for x
    x = 250,272,051.41/24,376.04
  6. Step 6: Final answer
    x = 10,267.13

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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.