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Finding the Fourth Proportional to 13,862.84, 19,130.67 and 7,575.21

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Solution

The fourth proportional to 13,862.84, 19,130.67 and 7,575.21 is: 10,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.84 : 19,130.67 = 7,575.21 : x
  2. Step 2: Convert to fraction form
    13,862.84/19,130.67 = 7,575.21/x
  3. Step 3: Cross multiply
    13,862.84x = 19,130.67 × 7,575.21
  4. Step 4: Simplify right side
    13,862.84x = 144,918,842.69
  5. Step 5: Solve for x
    x = 144,918,842.69/13,862.84
  6. Step 6: Final answer
    x = 10,453.77

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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.