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Finding the Fourth Proportional to 25,830.40, 38,776.80 and 16,470.40

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Solution

The fourth proportional to 25,830.40, 38,776.80 and 16,470.40 is: 24,725.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.40 : 38,776.80 = 16,470.40 : x
  2. Step 2: Convert to fraction form
    25,830.40/38,776.80 = 16,470.40/x
  3. Step 3: Cross multiply
    25,830.40x = 38,776.80 × 16,470.40
  4. Step 4: Simplify right side
    25,830.40x = 638,669,406.72
  5. Step 5: Solve for x
    x = 638,669,406.72/25,830.40
  6. Step 6: Final answer
    x = 24,725.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.