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Finding the Fourth Proportional to 24,924.48, 37,386.36 and 7,406.16

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Solution

The fourth proportional to 24,924.48, 37,386.36 and 7,406.16 is: 11,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,924.48 : 37,386.36 = 7,406.16 : x
  2. Step 2: Convert to fraction form
    24,924.48/37,386.36 = 7,406.16/x
  3. Step 3: Cross multiply
    24,924.48x = 37,386.36 × 7,406.16
  4. Step 4: Simplify right side
    24,924.48x = 276,889,363.98
  5. Step 5: Solve for x
    x = 276,889,363.98/24,924.48
  6. Step 6: Final answer
    x = 11,109.13

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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.