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Finding the Fourth Proportional to 12,898.32, 17,780.52 and 9,109.08

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Solution

The fourth proportional to 12,898.32, 17,780.52 and 9,109.08 is: 12,557.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.32 : 17,780.52 = 9,109.08 : x
  2. Step 2: Convert to fraction form
    12,898.32/17,780.52 = 9,109.08/x
  3. Step 3: Cross multiply
    12,898.32x = 17,780.52 × 9,109.08
  4. Step 4: Simplify right side
    12,898.32x = 161,964,179.12
  5. Step 5: Solve for x
    x = 161,964,179.12/12,898.32
  6. Step 6: Final answer
    x = 12,557.00

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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.