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Finding the Fourth Proportional to 14,108.04, 19,468.54 and 7,820.28

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Solution

The fourth proportional to 14,108.04, 19,468.54 and 7,820.28 is: 10,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.04 : 19,468.54 = 7,820.28 : x
  2. Step 2: Convert to fraction form
    14,108.04/19,468.54 = 7,820.28/x
  3. Step 3: Cross multiply
    14,108.04x = 19,468.54 × 7,820.28
  4. Step 4: Simplify right side
    14,108.04x = 152,249,433.99
  5. Step 5: Solve for x
    x = 152,249,433.99/14,108.04
  6. Step 6: Final answer
    x = 10,791.68

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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.