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Finding the Fourth Proportional to 19,184.64, 28,758.49 and 9,829.06

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Solution

The fourth proportional to 19,184.64, 28,758.49 and 9,829.06 is: 14,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,184.64 : 28,758.49 = 9,829.06 : x
  2. Step 2: Convert to fraction form
    19,184.64/28,758.49 = 9,829.06/x
  3. Step 3: Cross multiply
    19,184.64x = 28,758.49 × 9,829.06
  4. Step 4: Simplify right side
    19,184.64x = 282,668,923.72
  5. Step 5: Solve for x
    x = 282,668,923.72/19,184.64
  6. Step 6: Final answer
    x = 14,734.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.