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Finding the Fourth Proportional to 25,874.76, 35,707.16 and 14,696.76

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Solution

The fourth proportional to 25,874.76, 35,707.16 and 14,696.76 is: 20,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,874.76 : 35,707.16 = 14,696.76 : x
  2. Step 2: Convert to fraction form
    25,874.76/35,707.16 = 14,696.76/x
  3. Step 3: Cross multiply
    25,874.76x = 35,707.16 × 14,696.76
  4. Step 4: Simplify right side
    25,874.76x = 524,779,560.80
  5. Step 5: Solve for x
    x = 524,779,560.80/25,874.76
  6. Step 6: Final answer
    x = 20,281.52

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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.