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Finding the Fourth Proportional to 15,412.32, 23,118.84 and 7,099.29

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Solution

The fourth proportional to 15,412.32, 23,118.84 and 7,099.29 is: 10,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412.32 : 23,118.84 = 7,099.29 : x
  2. Step 2: Convert to fraction form
    15,412.32/23,118.84 = 7,099.29/x
  3. Step 3: Cross multiply
    15,412.32x = 23,118.84 × 7,099.29
  4. Step 4: Simplify right side
    15,412.32x = 164,127,349.62
  5. Step 5: Solve for x
    x = 164,127,349.62/15,412.32
  6. Step 6: Final answer
    x = 10,649.10

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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.