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Finding the Fourth Proportional to 25,823.56, 38,752.58 and 9,407.56

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Solution

The fourth proportional to 25,823.56, 38,752.58 and 9,407.56 is: 14,117.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823.56 : 38,752.58 = 9,407.56 : x
  2. Step 2: Convert to fraction form
    25,823.56/38,752.58 = 9,407.56/x
  3. Step 3: Cross multiply
    25,823.56x = 38,752.58 × 9,407.56
  4. Step 4: Simplify right side
    25,823.56x = 364,567,221.50
  5. Step 5: Solve for x
    x = 364,567,221.50/25,823.56
  6. Step 6: Final answer
    x = 14,117.62

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Why These Related Problems?

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