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Finding the Fourth Proportional to 13,830.72, 19,084.08 and 13,130.16

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Solution

The fourth proportional to 13,830.72, 19,084.08 and 13,130.16 is: 18,117.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.72 : 19,084.08 = 13,130.16 : x
  2. Step 2: Convert to fraction form
    13,830.72/19,084.08 = 13,130.16/x
  3. Step 3: Cross multiply
    13,830.72x = 19,084.08 × 13,130.16
  4. Step 4: Simplify right side
    13,830.72x = 250,577,023.85
  5. Step 5: Solve for x
    x = 250,577,023.85/13,830.72
  6. Step 6: Final answer
    x = 18,117.42

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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.