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Finding the Fourth Proportional to 15,535.16, 23,302.78 and 7,214.12

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Solution

The fourth proportional to 15,535.16, 23,302.78 and 7,214.12 is: 10,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,535.16 : 23,302.78 = 7,214.12 : x
  2. Step 2: Convert to fraction form
    15,535.16/23,302.78 = 7,214.12/x
  3. Step 3: Cross multiply
    15,535.16x = 23,302.78 × 7,214.12
  4. Step 4: Simplify right side
    15,535.16x = 168,109,051.25
  5. Step 5: Solve for x
    x = 168,109,051.25/15,535.16
  6. Step 6: Final answer
    x = 10,821.20

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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.