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Finding the Fourth Proportional to 24,927.51, 37,391.28 and 7,397.19

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Solution

The fourth proportional to 24,927.51, 37,391.28 and 7,397.19 is: 11,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.51 : 37,391.28 = 7,397.19 : x
  2. Step 2: Convert to fraction form
    24,927.51/37,391.28 = 7,397.19/x
  3. Step 3: Cross multiply
    24,927.51x = 37,391.28 × 7,397.19
  4. Step 4: Simplify right side
    24,927.51x = 276,590,402.50
  5. Step 5: Solve for x
    x = 276,590,402.50/24,927.51
  6. Step 6: Final answer
    x = 11,095.79

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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.