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Finding the Fourth Proportional to 15,769.20, 23,653.80 and 15,164.40

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Solution

The fourth proportional to 15,769.20, 23,653.80 and 15,164.40 is: 22,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.20 : 23,653.80 = 15,164.40 : x
  2. Step 2: Convert to fraction form
    15,769.20/23,653.80 = 15,164.40/x
  3. Step 3: Cross multiply
    15,769.20x = 23,653.80 × 15,164.40
  4. Step 4: Simplify right side
    15,769.20x = 358,695,684.72
  5. Step 5: Solve for x
    x = 358,695,684.72/15,769.20
  6. Step 6: Final answer
    x = 22,746.60

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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.