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Finding the Fourth Proportional to 24,968, 37,458.16 and 7,437.76

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Solution

The fourth proportional to 24,968, 37,458.16 and 7,437.76 is: 11,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,968 : 37,458.16 = 7,437.76 : x
  2. Step 2: Convert to fraction form
    24,968/37,458.16 = 7,437.76/x
  3. Step 3: Cross multiply
    24,968x = 37,458.16 × 7,437.76
  4. Step 4: Simplify right side
    24,968x = 278,604,804.12
  5. Step 5: Solve for x
    x = 278,604,804.12/24,968
  6. Step 6: Final answer
    x = 11,158.48

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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.