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Finding the Fourth Proportional to 25,497.08, 38,230.50 and 9,703.30

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Solution

The fourth proportional to 25,497.08, 38,230.50 and 9,703.30 is: 14,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.08 : 38,230.50 = 9,703.30 : x
  2. Step 2: Convert to fraction form
    25,497.08/38,230.50 = 9,703.30/x
  3. Step 3: Cross multiply
    25,497.08x = 38,230.50 × 9,703.30
  4. Step 4: Simplify right side
    25,497.08x = 370,962,010.65
  5. Step 5: Solve for x
    x = 370,962,010.65/25,497.08
  6. Step 6: Final answer
    x = 14,549.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.