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Finding the Fourth Proportional to 25,584.61, 35,297.61 and 14,406.61

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Solution

The fourth proportional to 25,584.61, 35,297.61 and 14,406.61 is: 19,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,584.61 : 35,297.61 = 14,406.61 : x
  2. Step 2: Convert to fraction form
    25,584.61/35,297.61 = 14,406.61/x
  3. Step 3: Cross multiply
    25,584.61x = 35,297.61 × 14,406.61
  4. Step 4: Simplify right side
    25,584.61x = 508,518,901.20
  5. Step 5: Solve for x
    x = 508,518,901.20/25,584.61
  6. Step 6: Final answer
    x = 19,875.97

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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.