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Finding the Fourth Proportional to 14,192.97, 19,567.22 and 9,938.31

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Solution

The fourth proportional to 14,192.97, 19,567.22 and 9,938.31 is: 13,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.97 : 19,567.22 = 9,938.31 : x
  2. Step 2: Convert to fraction form
    14,192.97/19,567.22 = 9,938.31/x
  3. Step 3: Cross multiply
    14,192.97x = 19,567.22 × 9,938.31
  4. Step 4: Simplify right side
    14,192.97x = 194,465,048.51
  5. Step 5: Solve for x
    x = 194,465,048.51/14,192.97
  6. Step 6: Final answer
    x = 13,701.50

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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.