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Finding the Fourth Proportional to 14,152.95, 21,231.98 and 11,543.58

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Solution

The fourth proportional to 14,152.95, 21,231.98 and 11,543.58 is: 17,317.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.95 : 21,231.98 = 11,543.58 : x
  2. Step 2: Convert to fraction form
    14,152.95/21,231.98 = 11,543.58/x
  3. Step 3: Cross multiply
    14,152.95x = 21,231.98 × 11,543.58
  4. Step 4: Simplify right side
    14,152.95x = 245,093,001.97
  5. Step 5: Solve for x
    x = 245,093,001.97/14,152.95
  6. Step 6: Final answer
    x = 17,317.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.