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Finding the Fourth Proportional to 24,602.40, 36,830.70 and 16,291.80

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Solution

The fourth proportional to 24,602.40, 36,830.70 and 16,291.80 is: 24,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,602.40 : 36,830.70 = 16,291.80 : x
  2. Step 2: Convert to fraction form
    24,602.40/36,830.70 = 16,291.80/x
  3. Step 3: Cross multiply
    24,602.40x = 36,830.70 × 16,291.80
  4. Step 4: Simplify right side
    24,602.40x = 600,038,398.26
  5. Step 5: Solve for x
    x = 600,038,398.26/24,602.40
  6. Step 6: Final answer
    x = 24,389.43

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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.