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Finding the Fourth Proportional to 25,926, 38,894.76 and 9,510

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Solution

The fourth proportional to 25,926, 38,894.76 and 9,510 is: 14,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,926 : 38,894.76 = 9,510 : x
  2. Step 2: Convert to fraction form
    25,926/38,894.76 = 9,510/x
  3. Step 3: Cross multiply
    25,926x = 38,894.76 × 9,510
  4. Step 4: Simplify right side
    25,926x = 369,889,167.60
  5. Step 5: Solve for x
    x = 369,889,167.60/25,926
  6. Step 6: Final answer
    x = 14,267.11

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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.