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Finding the Fourth Proportional to 24,507.77, 33,820.34 and 13,897.98

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Solution

The fourth proportional to 24,507.77, 33,820.34 and 13,897.98 is: 19,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.77 : 33,820.34 = 13,897.98 : x
  2. Step 2: Convert to fraction form
    24,507.77/33,820.34 = 13,897.98/x
  3. Step 3: Cross multiply
    24,507.77x = 33,820.34 × 13,897.98
  4. Step 4: Simplify right side
    24,507.77x = 470,034,339.42
  5. Step 5: Solve for x
    x = 470,034,339.42/24,507.77
  6. Step 6: Final answer
    x = 19,179.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.