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Finding the Fourth Proportional to 24,278.40, 33,509.36 and 16,316.01

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Solution

The fourth proportional to 24,278.40, 33,509.36 and 16,316.01 is: 22,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.40 : 33,509.36 = 16,316.01 : x
  2. Step 2: Convert to fraction form
    24,278.40/33,509.36 = 16,316.01/x
  3. Step 3: Cross multiply
    24,278.40x = 33,509.36 × 16,316.01
  4. Step 4: Simplify right side
    24,278.40x = 546,739,140.77
  5. Step 5: Solve for x
    x = 546,739,140.77/24,278.40
  6. Step 6: Final answer
    x = 22,519.57

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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.