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Finding the Fourth Proportional to 24,631.48, 36,946.14 and 7,102

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Solution

The fourth proportional to 24,631.48, 36,946.14 and 7,102 is: 10,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,631.48 : 36,946.14 = 7,102 : x
  2. Step 2: Convert to fraction form
    24,631.48/36,946.14 = 7,102/x
  3. Step 3: Cross multiply
    24,631.48x = 36,946.14 × 7,102
  4. Step 4: Simplify right side
    24,631.48x = 262,391,486.28
  5. Step 5: Solve for x
    x = 262,391,486.28/24,631.48
  6. Step 6: Final answer
    x = 10,652.69

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