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Finding the Fourth Proportional to 19,549, 29,323.50 and 5,698.12

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Solution

The fourth proportional to 19,549, 29,323.50 and 5,698.12 is: 8,547.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549 : 29,323.50 = 5,698.12 : x
  2. Step 2: Convert to fraction form
    19,549/29,323.50 = 5,698.12/x
  3. Step 3: Cross multiply
    19,549x = 29,323.50 × 5,698.12
  4. Step 4: Simplify right side
    19,549x = 167,088,821.82
  5. Step 5: Solve for x
    x = 167,088,821.82/19,549
  6. Step 6: Final answer
    x = 8,547.18

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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.