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Finding the Fourth Proportional to 17,810.66, 24,579.43 and 9,852.74

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Solution

The fourth proportional to 17,810.66, 24,579.43 and 9,852.74 is: 13,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.66 : 24,579.43 = 9,852.74 : x
  2. Step 2: Convert to fraction form
    17,810.66/24,579.43 = 9,852.74/x
  3. Step 3: Cross multiply
    17,810.66x = 24,579.43 × 9,852.74
  4. Step 4: Simplify right side
    17,810.66x = 242,174,769.95
  5. Step 5: Solve for x
    x = 242,174,769.95/17,810.66
  6. Step 6: Final answer
    x = 13,597.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.