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Finding the Fourth Proportional to 24,008.64, 35,945.16 and 12,738.48

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Solution

The fourth proportional to 24,008.64, 35,945.16 and 12,738.48 is: 19,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008.64 : 35,945.16 = 12,738.48 : x
  2. Step 2: Convert to fraction form
    24,008.64/35,945.16 = 12,738.48/x
  3. Step 3: Cross multiply
    24,008.64x = 35,945.16 × 12,738.48
  4. Step 4: Simplify right side
    24,008.64x = 457,886,701.76
  5. Step 5: Solve for x
    x = 457,886,701.76/24,008.64
  6. Step 6: Final answer
    x = 19,071.75

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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.