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Finding the Fourth Proportional to 25,668.65, 38,503.05 and 6,948.79

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Solution

The fourth proportional to 25,668.65, 38,503.05 and 6,948.79 is: 10,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,668.65 : 38,503.05 = 6,948.79 : x
  2. Step 2: Convert to fraction form
    25,668.65/38,503.05 = 6,948.79/x
  3. Step 3: Cross multiply
    25,668.65x = 38,503.05 × 6,948.79
  4. Step 4: Simplify right side
    25,668.65x = 267,549,486.49
  5. Step 5: Solve for x
    x = 267,549,486.49/25,668.65
  6. Step 6: Final answer
    x = 10,423.20

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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.