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Finding the Fourth Proportional to 13,865.61, 19,129.97 and 7,814.91

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Solution

The fourth proportional to 13,865.61, 19,129.97 and 7,814.91 is: 10,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.61 : 19,129.97 = 7,814.91 : x
  2. Step 2: Convert to fraction form
    13,865.61/19,129.97 = 7,814.91/x
  3. Step 3: Cross multiply
    13,865.61x = 19,129.97 × 7,814.91
  4. Step 4: Simplify right side
    13,865.61x = 149,499,085.13
  5. Step 5: Solve for x
    x = 149,499,085.13/13,865.61
  6. Step 6: Final answer
    x = 10,782.00

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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.