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Finding the Fourth Proportional to 24,574.66, 33,913.14 and 13,964.86

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Solution

The fourth proportional to 24,574.66, 33,913.14 and 13,964.86 is: 19,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.66 : 33,913.14 = 13,964.86 : x
  2. Step 2: Convert to fraction form
    24,574.66/33,913.14 = 13,964.86/x
  3. Step 3: Cross multiply
    24,574.66x = 33,913.14 × 13,964.86
  4. Step 4: Simplify right side
    24,574.66x = 473,592,252.26
  5. Step 5: Solve for x
    x = 473,592,252.26/24,574.66
  6. Step 6: Final answer
    x = 19,271.57

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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.