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Finding the Fourth Proportional to 24,421, 33,706.02 and 13,811.08

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Solution

The fourth proportional to 24,421, 33,706.02 and 13,811.08 is: 19,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421 : 33,706.02 = 13,811.08 : x
  2. Step 2: Convert to fraction form
    24,421/33,706.02 = 13,811.08/x
  3. Step 3: Cross multiply
    24,421x = 33,706.02 × 13,811.08
  4. Step 4: Simplify right side
    24,421x = 465,516,538.70
  5. Step 5: Solve for x
    x = 465,516,538.70/24,421
  6. Step 6: Final answer
    x = 19,062.14

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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.