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Finding the Fourth Proportional to 13,813.62, 19,070 and 10,740.66

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Solution

The fourth proportional to 13,813.62, 19,070 and 10,740.66 is: 14,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.62 : 19,070 = 10,740.66 : x
  2. Step 2: Convert to fraction form
    13,813.62/19,070 = 10,740.66/x
  3. Step 3: Cross multiply
    13,813.62x = 19,070 × 10,740.66
  4. Step 4: Simplify right side
    13,813.62x = 204,824,386.20
  5. Step 5: Solve for x
    x = 204,824,386.20/13,813.62
  6. Step 6: Final answer
    x = 14,827.71

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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.