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Finding the Fourth Proportional to 25,594.56, 35,323.08 and 14,265.90

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Solution

The fourth proportional to 25,594.56, 35,323.08 and 14,265.90 is: 19,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,594.56 : 35,323.08 = 14,265.90 : x
  2. Step 2: Convert to fraction form
    25,594.56/35,323.08 = 14,265.90/x
  3. Step 3: Cross multiply
    25,594.56x = 35,323.08 × 14,265.90
  4. Step 4: Simplify right side
    25,594.56x = 503,915,526.97
  5. Step 5: Solve for x
    x = 503,915,526.97/25,594.56
  6. Step 6: Final answer
    x = 19,688.38

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Why These Related Problems?

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