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Finding the Fourth Proportional to 24,403.06, 36,607.08 and 6,634

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Solution

The fourth proportional to 24,403.06, 36,607.08 and 6,634 is: 9,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,403.06 : 36,607.08 = 6,634 : x
  2. Step 2: Convert to fraction form
    24,403.06/36,607.08 = 6,634/x
  3. Step 3: Cross multiply
    24,403.06x = 36,607.08 × 6,634
  4. Step 4: Simplify right side
    24,403.06x = 242,851,368.72
  5. Step 5: Solve for x
    x = 242,851,368.72/24,403.06
  6. Step 6: Final answer
    x = 9,951.68

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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.