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Finding the Fourth Proportional to 25,527.30, 38,291.30 and 9,733.18

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Solution

The fourth proportional to 25,527.30, 38,291.30 and 9,733.18 is: 14,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.30 : 38,291.30 = 9,733.18 : x
  2. Step 2: Convert to fraction form
    25,527.30/38,291.30 = 9,733.18/x
  3. Step 3: Cross multiply
    25,527.30x = 38,291.30 × 9,733.18
  4. Step 4: Simplify right side
    25,527.30x = 372,695,875.21
  5. Step 5: Solve for x
    x = 372,695,875.21/25,527.30
  6. Step 6: Final answer
    x = 14,599.90

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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.