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Finding the Fourth Proportional to 25,562.16, 35,276.04 and 14,382

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Solution

The fourth proportional to 25,562.16, 35,276.04 and 14,382 is: 19,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,562.16 : 35,276.04 = 14,382 : x
  2. Step 2: Convert to fraction form
    25,562.16/35,276.04 = 14,382/x
  3. Step 3: Cross multiply
    25,562.16x = 35,276.04 × 14,382
  4. Step 4: Simplify right side
    25,562.16x = 507,340,007.28
  5. Step 5: Solve for x
    x = 507,340,007.28/25,562.16
  6. Step 6: Final answer
    x = 19,847.31

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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.