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Finding the Fourth Proportional to 15,415.20, 23,085.53 and 8,821.40

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Solution

The fourth proportional to 15,415.20, 23,085.53 and 8,821.40 is: 13,210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.20 : 23,085.53 = 8,821.40 : x
  2. Step 2: Convert to fraction form
    15,415.20/23,085.53 = 8,821.40/x
  3. Step 3: Cross multiply
    15,415.20x = 23,085.53 × 8,821.40
  4. Step 4: Simplify right side
    15,415.20x = 203,646,534.81
  5. Step 5: Solve for x
    x = 203,646,534.81/15,415.20
  6. Step 6: Final answer
    x = 13,210.76

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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.