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Finding the Fourth Proportional to 24,637, 36,960.36 and 12,598.78

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Solution

The fourth proportional to 24,637, 36,960.36 and 12,598.78 is: 18,900.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,637 : 36,960.36 = 12,598.78 : x
  2. Step 2: Convert to fraction form
    24,637/36,960.36 = 12,598.78/x
  3. Step 3: Cross multiply
    24,637x = 36,960.36 × 12,598.78
  4. Step 4: Simplify right side
    24,637x = 465,655,444.36
  5. Step 5: Solve for x
    x = 465,655,444.36/24,637
  6. Step 6: Final answer
    x = 18,900.66

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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.