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Finding the Fourth Proportional to 24,071.40, 33,216.24 and 13,460.76

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Solution

The fourth proportional to 24,071.40, 33,216.24 and 13,460.76 is: 18,574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.40 : 33,216.24 = 13,460.76 : x
  2. Step 2: Convert to fraction form
    24,071.40/33,216.24 = 13,460.76/x
  3. Step 3: Cross multiply
    24,071.40x = 33,216.24 × 13,460.76
  4. Step 4: Simplify right side
    24,071.40x = 447,115,834.74
  5. Step 5: Solve for x
    x = 447,115,834.74/24,071.40
  6. Step 6: Final answer
    x = 18,574.57

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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.