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Finding the Fourth Proportional to 14,712, 20,288.59 and 9,680.49

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Solution

The fourth proportional to 14,712, 20,288.59 and 9,680.49 is: 13,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712 : 20,288.59 = 9,680.49 : x
  2. Step 2: Convert to fraction form
    14,712/20,288.59 = 9,680.49/x
  3. Step 3: Cross multiply
    14,712x = 20,288.59 × 9,680.49
  4. Step 4: Simplify right side
    14,712x = 196,403,492.61
  5. Step 5: Solve for x
    x = 196,403,492.61/14,712
  6. Step 6: Final answer
    x = 13,349.88

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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.