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Finding the Fourth Proportional to 14,301.16, 19,730.84 and 9,271.97

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Solution

The fourth proportional to 14,301.16, 19,730.84 and 9,271.97 is: 12,792.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.16 : 19,730.84 = 9,271.97 : x
  2. Step 2: Convert to fraction form
    14,301.16/19,730.84 = 9,271.97/x
  3. Step 3: Cross multiply
    14,301.16x = 19,730.84 × 9,271.97
  4. Step 4: Simplify right side
    14,301.16x = 182,943,737.69
  5. Step 5: Solve for x
    x = 182,943,737.69/14,301.16
  6. Step 6: Final answer
    x = 12,792.23

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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.