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Finding the Fourth Proportional to 24,577.68, 36,866.54 and 6,109.68

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Solution

The fourth proportional to 24,577.68, 36,866.54 and 6,109.68 is: 9,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,577.68 : 36,866.54 = 6,109.68 : x
  2. Step 2: Convert to fraction form
    24,577.68/36,866.54 = 6,109.68/x
  3. Step 3: Cross multiply
    24,577.68x = 36,866.54 × 6,109.68
  4. Step 4: Simplify right side
    24,577.68x = 225,242,762.11
  5. Step 5: Solve for x
    x = 225,242,762.11/24,577.68
  6. Step 6: Final answer
    x = 9,164.52

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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.