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Finding the Fourth Proportional to 14,140.35, 19,513.04 and 7,853.13

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Solution

The fourth proportional to 14,140.35, 19,513.04 and 7,853.13 is: 10,836.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.35 : 19,513.04 = 7,853.13 : x
  2. Step 2: Convert to fraction form
    14,140.35/19,513.04 = 7,853.13/x
  3. Step 3: Cross multiply
    14,140.35x = 19,513.04 × 7,853.13
  4. Step 4: Simplify right side
    14,140.35x = 153,238,400.55
  5. Step 5: Solve for x
    x = 153,238,400.55/14,140.35
  6. Step 6: Final answer
    x = 10,836.96

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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.