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Finding the Fourth Proportional to 24,975.60, 37,465.32 and 7,444.08

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Solution

The fourth proportional to 24,975.60, 37,465.32 and 7,444.08 is: 11,166.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975.60 : 37,465.32 = 7,444.08 : x
  2. Step 2: Convert to fraction form
    24,975.60/37,465.32 = 7,444.08/x
  3. Step 3: Cross multiply
    24,975.60x = 37,465.32 × 7,444.08
  4. Step 4: Simplify right side
    24,975.60x = 278,894,839.31
  5. Step 5: Solve for x
    x = 278,894,839.31/24,975.60
  6. Step 6: Final answer
    x = 11,166.69

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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.