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Finding the Fourth Proportional to 25,706.18, 35,478.34 and 16,275.62

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Solution

The fourth proportional to 25,706.18, 35,478.34 and 16,275.62 is: 22,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,706.18 : 35,478.34 = 16,275.62 : x
  2. Step 2: Convert to fraction form
    25,706.18/35,478.34 = 16,275.62/x
  3. Step 3: Cross multiply
    25,706.18x = 35,478.34 × 16,275.62
  4. Step 4: Simplify right side
    25,706.18x = 577,431,980.07
  5. Step 5: Solve for x
    x = 577,431,980.07/25,706.18
  6. Step 6: Final answer
    x = 22,462.77

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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.