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Finding the Fourth Proportional to 24,637.50, 36,957.06 and 6,169.50

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Solution

The fourth proportional to 24,637.50, 36,957.06 and 6,169.50 is: 9,254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,637.50 : 36,957.06 = 6,169.50 : x
  2. Step 2: Convert to fraction form
    24,637.50/36,957.06 = 6,169.50/x
  3. Step 3: Cross multiply
    24,637.50x = 36,957.06 × 6,169.50
  4. Step 4: Simplify right side
    24,637.50x = 228,006,581.67
  5. Step 5: Solve for x
    x = 228,006,581.67/24,637.50
  6. Step 6: Final answer
    x = 9,254.45

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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.