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Finding the Fourth Proportional to 25,742.46, 35,526.03 and 14,411.70

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Solution

The fourth proportional to 25,742.46, 35,526.03 and 14,411.70 is: 19,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,742.46 : 35,526.03 = 14,411.70 : x
  2. Step 2: Convert to fraction form
    25,742.46/35,526.03 = 14,411.70/x
  3. Step 3: Cross multiply
    25,742.46x = 35,526.03 × 14,411.70
  4. Step 4: Simplify right side
    25,742.46x = 511,990,486.55
  5. Step 5: Solve for x
    x = 511,990,486.55/25,742.46
  6. Step 6: Final answer
    x = 19,888.95

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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.