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Finding the Fourth Proportional to 17,878.42, 24,681.41 and 12,596.81

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Solution

The fourth proportional to 17,878.42, 24,681.41 and 12,596.81 is: 17,390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,878.42 : 24,681.41 = 12,596.81 : x
  2. Step 2: Convert to fraction form
    17,878.42/24,681.41 = 12,596.81/x
  3. Step 3: Cross multiply
    17,878.42x = 24,681.41 × 12,596.81
  4. Step 4: Simplify right side
    17,878.42x = 310,907,031.02
  5. Step 5: Solve for x
    x = 310,907,031.02/17,878.42
  6. Step 6: Final answer
    x = 17,390.08

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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.