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Finding the Fourth Proportional to 17,802.70, 26,705.86 and 6,114.40

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Solution

The fourth proportional to 17,802.70, 26,705.86 and 6,114.40 is: 9,172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.70 : 26,705.86 = 6,114.40 : x
  2. Step 2: Convert to fraction form
    17,802.70/26,705.86 = 6,114.40/x
  3. Step 3: Cross multiply
    17,802.70x = 26,705.86 × 6,114.40
  4. Step 4: Simplify right side
    17,802.70x = 163,290,310.38
  5. Step 5: Solve for x
    x = 163,290,310.38/17,802.70
  6. Step 6: Final answer
    x = 9,172.22

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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.