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Finding the Fourth Proportional to 15,182.04, 22,771 and 4,089.40

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Solution

The fourth proportional to 15,182.04, 22,771 and 4,089.40 is: 6,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.04 : 22,771 = 4,089.40 : x
  2. Step 2: Convert to fraction form
    15,182.04/22,771 = 4,089.40/x
  3. Step 3: Cross multiply
    15,182.04x = 22,771 × 4,089.40
  4. Step 4: Simplify right side
    15,182.04x = 93,119,727.40
  5. Step 5: Solve for x
    x = 93,119,727.40/15,182.04
  6. Step 6: Final answer
    x = 6,133.55

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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.