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Finding the Fourth Proportional to 26,065.34, 39,098 and 10,479.32

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Solution

The fourth proportional to 26,065.34, 39,098 and 10,479.32 is: 15,718.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065.34 : 39,098 = 10,479.32 : x
  2. Step 2: Convert to fraction form
    26,065.34/39,098 = 10,479.32/x
  3. Step 3: Cross multiply
    26,065.34x = 39,098 × 10,479.32
  4. Step 4: Simplify right side
    26,065.34x = 409,720,453.36
  5. Step 5: Solve for x
    x = 409,720,453.36/26,065.34
  6. Step 6: Final answer
    x = 15,718.98

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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.