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Finding the Fourth Proportional to 25,709.63, 38,565.29 and 8,842.47

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Solution

The fourth proportional to 25,709.63, 38,565.29 and 8,842.47 is: 13,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.63 : 38,565.29 = 8,842.47 : x
  2. Step 2: Convert to fraction form
    25,709.63/38,565.29 = 8,842.47/x
  3. Step 3: Cross multiply
    25,709.63x = 38,565.29 × 8,842.47
  4. Step 4: Simplify right side
    25,709.63x = 341,012,244.51
  5. Step 5: Solve for x
    x = 341,012,244.51/25,709.63
  6. Step 6: Final answer
    x = 13,263.99

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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.