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Finding the Fourth Proportional to 25,378.75, 35,038.56 and 16,307.79

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Solution

The fourth proportional to 25,378.75, 35,038.56 and 16,307.79 is: 22,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.75 : 35,038.56 = 16,307.79 : x
  2. Step 2: Convert to fraction form
    25,378.75/35,038.56 = 16,307.79/x
  3. Step 3: Cross multiply
    25,378.75x = 35,038.56 × 16,307.79
  4. Step 4: Simplify right side
    25,378.75x = 571,401,478.38
  5. Step 5: Solve for x
    x = 571,401,478.38/25,378.75
  6. Step 6: Final answer
    x = 22,514.96

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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.