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Finding the Fourth Proportional to 23,473.50, 32,393.43 and 13,537.50

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Solution

The fourth proportional to 23,473.50, 32,393.43 and 13,537.50 is: 18,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.50 : 32,393.43 = 13,537.50 : x
  2. Step 2: Convert to fraction form
    23,473.50/32,393.43 = 13,537.50/x
  3. Step 3: Cross multiply
    23,473.50x = 32,393.43 × 13,537.50
  4. Step 4: Simplify right side
    23,473.50x = 438,526,058.63
  5. Step 5: Solve for x
    x = 438,526,058.63/23,473.50
  6. Step 6: Final answer
    x = 18,681.75

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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.