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Finding the Fourth Proportional to 26,705.52, 40,055.22 and 6,985.98

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Solution

The fourth proportional to 26,705.52, 40,055.22 and 6,985.98 is: 10,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.52 : 40,055.22 = 6,985.98 : x
  2. Step 2: Convert to fraction form
    26,705.52/40,055.22 = 6,985.98/x
  3. Step 3: Cross multiply
    26,705.52x = 40,055.22 × 6,985.98
  4. Step 4: Simplify right side
    26,705.52x = 279,824,965.82
  5. Step 5: Solve for x
    x = 279,824,965.82/26,705.52
  6. Step 6: Final answer
    x = 10,478.17

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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.