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Finding the Fourth Proportional to 19,705.48, 29,547.18 and 8,005

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Solution

The fourth proportional to 19,705.48, 29,547.18 and 8,005 is: 12,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.48 : 29,547.18 = 8,005 : x
  2. Step 2: Convert to fraction form
    19,705.48/29,547.18 = 8,005/x
  3. Step 3: Cross multiply
    19,705.48x = 29,547.18 × 8,005
  4. Step 4: Simplify right side
    19,705.48x = 236,525,175.90
  5. Step 5: Solve for x
    x = 236,525,175.90/19,705.48
  6. Step 6: Final answer
    x = 12,003.02

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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.