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Finding the Fourth Proportional to 20,154.51, 30,095.95 and 16,464.03

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Solution

The fourth proportional to 20,154.51, 30,095.95 and 16,464.03 is: 24,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.51 : 30,095.95 = 16,464.03 : x
  2. Step 2: Convert to fraction form
    20,154.51/30,095.95 = 16,464.03/x
  3. Step 3: Cross multiply
    20,154.51x = 30,095.95 × 16,464.03
  4. Step 4: Simplify right side
    20,154.51x = 495,500,582.52
  5. Step 5: Solve for x
    x = 495,500,582.52/20,154.51
  6. Step 6: Final answer
    x = 24,585.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.