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Finding the Fourth Proportional to 24,827.61, 37,243.71 and 7,058.64

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Solution

The fourth proportional to 24,827.61, 37,243.71 and 7,058.64 is: 10,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.61 : 37,243.71 = 7,058.64 : x
  2. Step 2: Convert to fraction form
    24,827.61/37,243.71 = 7,058.64/x
  3. Step 3: Cross multiply
    24,827.61x = 37,243.71 × 7,058.64
  4. Step 4: Simplify right side
    24,827.61x = 262,889,941.15
  5. Step 5: Solve for x
    x = 262,889,941.15/24,827.61
  6. Step 6: Final answer
    x = 10,588.61

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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.