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Finding the Fourth Proportional to 24,428, 36,642.36 and 8,012

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Solution

The fourth proportional to 24,428, 36,642.36 and 8,012 is: 12,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,428 : 36,642.36 = 8,012 : x
  2. Step 2: Convert to fraction form
    24,428/36,642.36 = 8,012/x
  3. Step 3: Cross multiply
    24,428x = 36,642.36 × 8,012
  4. Step 4: Simplify right side
    24,428x = 293,578,588.32
  5. Step 5: Solve for x
    x = 293,578,588.32/24,428
  6. Step 6: Final answer
    x = 12,018.12

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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.