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Finding the Fourth Proportional to 25,257.76, 34,855.76 and 14,080.16

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Solution

The fourth proportional to 25,257.76, 34,855.76 and 14,080.16 is: 19,430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,257.76 : 34,855.76 = 14,080.16 : x
  2. Step 2: Convert to fraction form
    25,257.76/34,855.76 = 14,080.16/x
  3. Step 3: Cross multiply
    25,257.76x = 34,855.76 × 14,080.16
  4. Step 4: Simplify right side
    25,257.76x = 490,774,677.72
  5. Step 5: Solve for x
    x = 490,774,677.72/25,257.76
  6. Step 6: Final answer
    x = 19,430.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.