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Finding the Fourth Proportional to 22,358.81, 33,465.19 and 16,434.13

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Solution

The fourth proportional to 22,358.81, 33,465.19 and 16,434.13 is: 24,597.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.81 : 33,465.19 = 16,434.13 : x
  2. Step 2: Convert to fraction form
    22,358.81/33,465.19 = 16,434.13/x
  3. Step 3: Cross multiply
    22,358.81x = 33,465.19 × 16,434.13
  4. Step 4: Simplify right side
    22,358.81x = 549,971,282.93
  5. Step 5: Solve for x
    x = 549,971,282.93/22,358.81
  6. Step 6: Final answer
    x = 24,597.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.