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Finding the Fourth Proportional to 24,780.16, 37,172.16 and 6,312

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Solution

The fourth proportional to 24,780.16, 37,172.16 and 6,312 is: 9,468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,780.16 : 37,172.16 = 6,312 : x
  2. Step 2: Convert to fraction form
    24,780.16/37,172.16 = 6,312/x
  3. Step 3: Cross multiply
    24,780.16x = 37,172.16 × 6,312
  4. Step 4: Simplify right side
    24,780.16x = 234,630,673.92
  5. Step 5: Solve for x
    x = 234,630,673.92/24,780.16
  6. Step 6: Final answer
    x = 9,468.49

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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.