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Finding the Fourth Proportional to 25,842.40, 38,763.59 and 8,312.22

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Solution

The fourth proportional to 25,842.40, 38,763.59 and 8,312.22 is: 12,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.40 : 38,763.59 = 8,312.22 : x
  2. Step 2: Convert to fraction form
    25,842.40/38,763.59 = 8,312.22/x
  3. Step 3: Cross multiply
    25,842.40x = 38,763.59 × 8,312.22
  4. Step 4: Simplify right side
    25,842.40x = 322,211,488.07
  5. Step 5: Solve for x
    x = 322,211,488.07/25,842.40
  6. Step 6: Final answer
    x = 12,468.33

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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.