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Finding the Fourth Proportional to 24,765, 34,176.30 and 13,587

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Solution

The fourth proportional to 24,765, 34,176.30 and 13,587 is: 18,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765 : 34,176.30 = 13,587 : x
  2. Step 2: Convert to fraction form
    24,765/34,176.30 = 13,587/x
  3. Step 3: Cross multiply
    24,765x = 34,176.30 × 13,587
  4. Step 4: Simplify right side
    24,765x = 464,353,388.10
  5. Step 5: Solve for x
    x = 464,353,388.10/24,765
  6. Step 6: Final answer
    x = 18,750.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.