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Finding the Fourth Proportional to 24,782.34, 37,186.26 and 16,468.08

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Solution

The fourth proportional to 24,782.34, 37,186.26 and 16,468.08 is: 24,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.34 : 37,186.26 = 16,468.08 : x
  2. Step 2: Convert to fraction form
    24,782.34/37,186.26 = 16,468.08/x
  3. Step 3: Cross multiply
    24,782.34x = 37,186.26 × 16,468.08
  4. Step 4: Simplify right side
    24,782.34x = 612,386,304.58
  5. Step 5: Solve for x
    x = 612,386,304.58/24,782.34
  6. Step 6: Final answer
    x = 24,710.59

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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.