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Finding the Fourth Proportional to 14,678.56, 20,251.47 and 8,304.40

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Solution

The fourth proportional to 14,678.56, 20,251.47 and 8,304.40 is: 11,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.56 : 20,251.47 = 8,304.40 : x
  2. Step 2: Convert to fraction form
    14,678.56/20,251.47 = 8,304.40/x
  3. Step 3: Cross multiply
    14,678.56x = 20,251.47 × 8,304.40
  4. Step 4: Simplify right side
    14,678.56x = 168,176,307.47
  5. Step 5: Solve for x
    x = 168,176,307.47/14,678.56
  6. Step 6: Final answer
    x = 11,457.28

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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.