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Finding the Fourth Proportional to 18,034.30, 24,888.54 and 10,077.64

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Solution

The fourth proportional to 18,034.30, 24,888.54 and 10,077.64 is: 13,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,034.30 : 24,888.54 = 10,077.64 : x
  2. Step 2: Convert to fraction form
    18,034.30/24,888.54 = 10,077.64/x
  3. Step 3: Cross multiply
    18,034.30x = 24,888.54 × 10,077.64
  4. Step 4: Simplify right side
    18,034.30x = 250,817,746.25
  5. Step 5: Solve for x
    x = 250,817,746.25/18,034.30
  6. Step 6: Final answer
    x = 13,907.82

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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.