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Finding the Fourth Proportional to 24,598.68, 33,946.23 and 13,420.68

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Solution

The fourth proportional to 24,598.68, 33,946.23 and 13,420.68 is: 18,520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,598.68 : 33,946.23 = 13,420.68 : x
  2. Step 2: Convert to fraction form
    24,598.68/33,946.23 = 13,420.68/x
  3. Step 3: Cross multiply
    24,598.68x = 33,946.23 × 13,420.68
  4. Step 4: Simplify right side
    24,598.68x = 455,581,490.04
  5. Step 5: Solve for x
    x = 455,581,490.04/24,598.68
  6. Step 6: Final answer
    x = 18,520.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.