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Finding the Fourth Proportional to 15,470.40, 23,069.67 and 15,330

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Solution

The fourth proportional to 15,470.40, 23,069.67 and 15,330 is: 22,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,470.40 : 23,069.67 = 15,330 : x
  2. Step 2: Convert to fraction form
    15,470.40/23,069.67 = 15,330/x
  3. Step 3: Cross multiply
    15,470.40x = 23,069.67 × 15,330
  4. Step 4: Simplify right side
    15,470.40x = 353,658,041.10
  5. Step 5: Solve for x
    x = 353,658,041.10/15,470.40
  6. Step 6: Final answer
    x = 22,860.30

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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.