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Finding the Fourth Proportional to 13,880.34, 19,155.16 and 7,593.12

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Solution

The fourth proportional to 13,880.34, 19,155.16 and 7,593.12 is: 10,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.34 : 19,155.16 = 7,593.12 : x
  2. Step 2: Convert to fraction form
    13,880.34/19,155.16 = 7,593.12/x
  3. Step 3: Cross multiply
    13,880.34x = 19,155.16 × 7,593.12
  4. Step 4: Simplify right side
    13,880.34x = 145,447,428.50
  5. Step 5: Solve for x
    x = 145,447,428.50/13,880.34
  6. Step 6: Final answer
    x = 10,478.66

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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.