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Finding the Fourth Proportional to 19,323.16, 28,973.62 and 10,306.16

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Solution

The fourth proportional to 19,323.16, 28,973.62 and 10,306.16 is: 15,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,323.16 : 28,973.62 = 10,306.16 : x
  2. Step 2: Convert to fraction form
    19,323.16/28,973.62 = 10,306.16/x
  3. Step 3: Cross multiply
    19,323.16x = 28,973.62 × 10,306.16
  4. Step 4: Simplify right side
    19,323.16x = 298,606,763.50
  5. Step 5: Solve for x
    x = 298,606,763.50/19,323.16
  6. Step 6: Final answer
    x = 15,453.31

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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.