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Finding the Fourth Proportional to 25,646.80, 38,470.20 and 14,549.20

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Solution

The fourth proportional to 25,646.80, 38,470.20 and 14,549.20 is: 21,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,646.80 : 38,470.20 = 14,549.20 : x
  2. Step 2: Convert to fraction form
    25,646.80/38,470.20 = 14,549.20/x
  3. Step 3: Cross multiply
    25,646.80x = 38,470.20 × 14,549.20
  4. Step 4: Simplify right side
    25,646.80x = 559,710,633.84
  5. Step 5: Solve for x
    x = 559,710,633.84/25,646.80
  6. Step 6: Final answer
    x = 21,823.80

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1.5x scale

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.