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Finding the Fourth Proportional to 24,802.48, 37,196.48 and 7,268.16

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Solution

The fourth proportional to 24,802.48, 37,196.48 and 7,268.16 is: 10,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.48 : 37,196.48 = 7,268.16 : x
  2. Step 2: Convert to fraction form
    24,802.48/37,196.48 = 7,268.16/x
  3. Step 3: Cross multiply
    24,802.48x = 37,196.48 × 7,268.16
  4. Step 4: Simplify right side
    24,802.48x = 270,349,968.08
  5. Step 5: Solve for x
    x = 270,349,968.08/24,802.48
  6. Step 6: Final answer
    x = 10,900.12

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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.