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Finding the Fourth Proportional to 14,342.50, 19,743.51 and 12,442.92

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Solution

The fourth proportional to 14,342.50, 19,743.51 and 12,442.92 is: 17,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.50 : 19,743.51 = 12,442.92 : x
  2. Step 2: Convert to fraction form
    14,342.50/19,743.51 = 12,442.92/x
  3. Step 3: Cross multiply
    14,342.50x = 19,743.51 × 12,442.92
  4. Step 4: Simplify right side
    14,342.50x = 245,666,915.45
  5. Step 5: Solve for x
    x = 245,666,915.45/14,342.50
  6. Step 6: Final answer
    x = 17,128.60

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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.