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Finding the Fourth Proportional to 25,562, 35,275.56 and 14,384.24

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Solution

The fourth proportional to 25,562, 35,275.56 and 14,384.24 is: 19,850.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562 : 35,275.56 = 14,384.24 : x
  2. Step 2: Convert to fraction form
    25,562/35,275.56 = 14,384.24/x
  3. Step 3: Cross multiply
    25,562x = 35,275.56 × 14,384.24
  4. Step 4: Simplify right side
    25,562x = 507,412,121.17
  5. Step 5: Solve for x
    x = 507,412,121.17/25,562
  6. Step 6: Final answer
    x = 19,850.25

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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.