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Finding the Fourth Proportional to 25,706.76, 35,471.57 and 14,374.86

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Solution

The fourth proportional to 25,706.76, 35,471.57 and 14,374.86 is: 19,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.76 : 35,471.57 = 14,374.86 : x
  2. Step 2: Convert to fraction form
    25,706.76/35,471.57 = 14,374.86/x
  3. Step 3: Cross multiply
    25,706.76x = 35,471.57 × 14,374.86
  4. Step 4: Simplify right side
    25,706.76x = 509,898,780.86
  5. Step 5: Solve for x
    x = 509,898,780.86/25,706.76
  6. Step 6: Final answer
    x = 19,835.20

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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.