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Finding the Fourth Proportional to 25,473, 35,155.98 and 14,295

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Solution

The fourth proportional to 25,473, 35,155.98 and 14,295 is: 19,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,473 : 35,155.98 = 14,295 : x
  2. Step 2: Convert to fraction form
    25,473/35,155.98 = 14,295/x
  3. Step 3: Cross multiply
    25,473x = 35,155.98 × 14,295
  4. Step 4: Simplify right side
    25,473x = 502,554,734.10
  5. Step 5: Solve for x
    x = 502,554,734.10/25,473
  6. Step 6: Final answer
    x = 19,728.92

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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.