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Finding the Fourth Proportional to 26,705.00, 40,054.01 and 6,985.07

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Solution

The fourth proportional to 26,705.00, 40,054.01 and 6,985.07 is: 10,476.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.00 : 40,054.01 = 6,985.07 : x
  2. Step 2: Convert to fraction form
    26,705.00/40,054.01 = 6,985.07/x
  3. Step 3: Cross multiply
    26,705.00x = 40,054.01 × 6,985.07
  4. Step 4: Simplify right side
    26,705.00x = 279,779,828.44
  5. Step 5: Solve for x
    x = 279,779,828.44/26,705.00
  6. Step 6: Final answer
    x = 10,476.69

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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.