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Finding the Fourth Proportional to 24,967.26, 37,448.28 and 9,386.10

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Solution

The fourth proportional to 24,967.26, 37,448.28 and 9,386.10 is: 14,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,967.26 : 37,448.28 = 9,386.10 : x
  2. Step 2: Convert to fraction form
    24,967.26/37,448.28 = 9,386.10/x
  3. Step 3: Cross multiply
    24,967.26x = 37,448.28 × 9,386.10
  4. Step 4: Simplify right side
    24,967.26x = 351,493,300.91
  5. Step 5: Solve for x
    x = 351,493,300.91/24,967.26
  6. Step 6: Final answer
    x = 14,078.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.