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Finding the Fourth Proportional to 13,488.12, 18,615.02 and 7,821.16

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Solution

The fourth proportional to 13,488.12, 18,615.02 and 7,821.16 is: 10,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.12 : 18,615.02 = 7,821.16 : x
  2. Step 2: Convert to fraction form
    13,488.12/18,615.02 = 7,821.16/x
  3. Step 3: Cross multiply
    13,488.12x = 18,615.02 × 7,821.16
  4. Step 4: Simplify right side
    13,488.12x = 145,590,964.18
  5. Step 5: Solve for x
    x = 145,590,964.18/13,488.12
  6. Step 6: Final answer
    x = 10,794.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.