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Finding the Fourth Proportional to 14,282.41, 19,712.06 and 9,802.48

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Solution

The fourth proportional to 14,282.41, 19,712.06 and 9,802.48 is: 13,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.41 : 19,712.06 = 9,802.48 : x
  2. Step 2: Convert to fraction form
    14,282.41/19,712.06 = 9,802.48/x
  3. Step 3: Cross multiply
    14,282.41x = 19,712.06 × 9,802.48
  4. Step 4: Simplify right side
    14,282.41x = 193,227,073.91
  5. Step 5: Solve for x
    x = 193,227,073.91/14,282.41
  6. Step 6: Final answer
    x = 13,529.02

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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.