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Finding the Fourth Proportional to 13,900.14, 19,182.06 and 7,526.57

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Solution

The fourth proportional to 13,900.14, 19,182.06 and 7,526.57 is: 10,386.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.14 : 19,182.06 = 7,526.57 : x
  2. Step 2: Convert to fraction form
    13,900.14/19,182.06 = 7,526.57/x
  3. Step 3: Cross multiply
    13,900.14x = 19,182.06 × 7,526.57
  4. Step 4: Simplify right side
    13,900.14x = 144,375,117.33
  5. Step 5: Solve for x
    x = 144,375,117.33/13,900.14
  6. Step 6: Final answer
    x = 10,386.59

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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.