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Finding the Fourth Proportional to 13,859.82, 19,126.80 and 7,572.06

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Solution

The fourth proportional to 13,859.82, 19,126.80 and 7,572.06 is: 10,449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,859.82 : 19,126.80 = 7,572.06 : x
  2. Step 2: Convert to fraction form
    13,859.82/19,126.80 = 7,572.06/x
  3. Step 3: Cross multiply
    13,859.82x = 19,126.80 × 7,572.06
  4. Step 4: Simplify right side
    13,859.82x = 144,829,277.21
  5. Step 5: Solve for x
    x = 144,829,277.21/13,859.82
  6. Step 6: Final answer
    x = 10,449.58

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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.