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Finding the Fourth Proportional to 17,722.32, 24,468.48 and 13,681.84

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Solution

The fourth proportional to 17,722.32, 24,468.48 and 13,681.84 is: 18,889.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.32 : 24,468.48 = 13,681.84 : x
  2. Step 2: Convert to fraction form
    17,722.32/24,468.48 = 13,681.84/x
  3. Step 3: Cross multiply
    17,722.32x = 24,468.48 × 13,681.84
  4. Step 4: Simplify right side
    17,722.32x = 334,773,828.40
  5. Step 5: Solve for x
    x = 334,773,828.40/17,722.32
  6. Step 6: Final answer
    x = 18,889.96

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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.