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Finding the Fourth Proportional to 22,304.16, 30,780 and 12,875.76

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Solution

The fourth proportional to 22,304.16, 30,780 and 12,875.76 is: 17,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.16 : 30,780 = 12,875.76 : x
  2. Step 2: Convert to fraction form
    22,304.16/30,780 = 12,875.76/x
  3. Step 3: Cross multiply
    22,304.16x = 30,780 × 12,875.76
  4. Step 4: Simplify right side
    22,304.16x = 396,315,892.80
  5. Step 5: Solve for x
    x = 396,315,892.80/22,304.16
  6. Step 6: Final answer
    x = 17,768.70

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