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Finding the Fourth Proportional to 25,870.16, 38,809.56 and 8,341.76

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Solution

The fourth proportional to 25,870.16, 38,809.56 and 8,341.76 is: 12,514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.16 : 38,809.56 = 8,341.76 : x
  2. Step 2: Convert to fraction form
    25,870.16/38,809.56 = 8,341.76/x
  3. Step 3: Cross multiply
    25,870.16x = 38,809.56 × 8,341.76
  4. Step 4: Simplify right side
    25,870.16x = 323,740,035.23
  5. Step 5: Solve for x
    x = 323,740,035.23/25,870.16
  6. Step 6: Final answer
    x = 12,514.03

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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.