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Finding the Fourth Proportional to 13,821.76, 19,074.08 and 7,534.16

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Solution

The fourth proportional to 13,821.76, 19,074.08 and 7,534.16 is: 10,397.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.76 : 19,074.08 = 7,534.16 : x
  2. Step 2: Convert to fraction form
    13,821.76/19,074.08 = 7,534.16/x
  3. Step 3: Cross multiply
    13,821.76x = 19,074.08 × 7,534.16
  4. Step 4: Simplify right side
    13,821.76x = 143,707,170.57
  5. Step 5: Solve for x
    x = 143,707,170.57/13,821.76
  6. Step 6: Final answer
    x = 10,397.17

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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.