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Finding the Fourth Proportional to 26,430.98, 39,642.59 and 7,705.98

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Solution

The fourth proportional to 26,430.98, 39,642.59 and 7,705.98 is: 11,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,430.98 : 39,642.59 = 7,705.98 : x
  2. Step 2: Convert to fraction form
    26,430.98/39,642.59 = 7,705.98/x
  3. Step 3: Cross multiply
    26,430.98x = 39,642.59 × 7,705.98
  4. Step 4: Simplify right side
    26,430.98x = 305,484,967.16
  5. Step 5: Solve for x
    x = 305,484,967.16/26,430.98
  6. Step 6: Final answer
    x = 11,557.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.