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Finding the Fourth Proportional to 14,842.32, 20,473.88 and 9,807.36

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Solution

The fourth proportional to 14,842.32, 20,473.88 and 9,807.36 is: 13,528.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.32 : 20,473.88 = 9,807.36 : x
  2. Step 2: Convert to fraction form
    14,842.32/20,473.88 = 9,807.36/x
  3. Step 3: Cross multiply
    14,842.32x = 20,473.88 × 9,807.36
  4. Step 4: Simplify right side
    14,842.32x = 200,794,711.76
  5. Step 5: Solve for x
    x = 200,794,711.76/14,842.32
  6. Step 6: Final answer
    x = 13,528.53

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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.