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Finding the Fourth Proportional to 13,830.18, 19,101.59 and 10,070.16

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Solution

The fourth proportional to 13,830.18, 19,101.59 and 10,070.16 is: 13,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.18 : 19,101.59 = 10,070.16 : x
  2. Step 2: Convert to fraction form
    13,830.18/19,101.59 = 10,070.16/x
  3. Step 3: Cross multiply
    13,830.18x = 19,101.59 × 10,070.16
  4. Step 4: Simplify right side
    13,830.18x = 192,356,067.55
  5. Step 5: Solve for x
    x = 192,356,067.55/13,830.18
  6. Step 6: Final answer
    x = 13,908.43

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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.