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Finding the Fourth Proportional to 19,859.04, 27,404.46 and 11,475

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Solution

The fourth proportional to 19,859.04, 27,404.46 and 11,475 is: 15,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.04 : 27,404.46 = 11,475 : x
  2. Step 2: Convert to fraction form
    19,859.04/27,404.46 = 11,475/x
  3. Step 3: Cross multiply
    19,859.04x = 27,404.46 × 11,475
  4. Step 4: Simplify right side
    19,859.04x = 314,466,178.50
  5. Step 5: Solve for x
    x = 314,466,178.50/19,859.04
  6. Step 6: Final answer
    x = 15,834.91

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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.