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Finding the Fourth Proportional to 25,885.40, 38,828.10 and 14,221.40

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Solution

The fourth proportional to 25,885.40, 38,828.10 and 14,221.40 is: 21,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.40 : 38,828.10 = 14,221.40 : x
  2. Step 2: Convert to fraction form
    25,885.40/38,828.10 = 14,221.40/x
  3. Step 3: Cross multiply
    25,885.40x = 38,828.10 × 14,221.40
  4. Step 4: Simplify right side
    25,885.40x = 552,189,941.34
  5. Step 5: Solve for x
    x = 552,189,941.34/25,885.40
  6. Step 6: Final answer
    x = 21,332.10

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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.