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Finding the Fourth Proportional to 19,803.58, 29,705.38 and 6,656

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Solution

The fourth proportional to 19,803.58, 29,705.38 and 6,656 is: 9,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.58 : 29,705.38 = 6,656 : x
  2. Step 2: Convert to fraction form
    19,803.58/29,705.38 = 6,656/x
  3. Step 3: Cross multiply
    19,803.58x = 29,705.38 × 6,656
  4. Step 4: Simplify right side
    19,803.58x = 197,719,009.28
  5. Step 5: Solve for x
    x = 197,719,009.28/19,803.58
  6. Step 6: Final answer
    x = 9,984.00

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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.