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Finding the Fourth Proportional to 16,058.25, 24,077.25 and 7,740.36

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Solution

The fourth proportional to 16,058.25, 24,077.25 and 7,740.36 is: 11,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,058.25 : 24,077.25 = 7,740.36 : x
  2. Step 2: Convert to fraction form
    16,058.25/24,077.25 = 7,740.36/x
  3. Step 3: Cross multiply
    16,058.25x = 24,077.25 × 7,740.36
  4. Step 4: Simplify right side
    16,058.25x = 186,366,582.81
  5. Step 5: Solve for x
    x = 186,366,582.81/16,058.25
  6. Step 6: Final answer
    x = 11,605.66

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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.