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Finding the Fourth Proportional to 24,146.95, 33,322.74 and 13,536.58

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Solution

The fourth proportional to 24,146.95, 33,322.74 and 13,536.58 is: 18,680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.95 : 33,322.74 = 13,536.58 : x
  2. Step 2: Convert to fraction form
    24,146.95/33,322.74 = 13,536.58/x
  3. Step 3: Cross multiply
    24,146.95x = 33,322.74 × 13,536.58
  4. Step 4: Simplify right side
    24,146.95x = 451,075,935.83
  5. Step 5: Solve for x
    x = 451,075,935.83/24,146.95
  6. Step 6: Final answer
    x = 18,680.45

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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.