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Finding the Fourth Proportional to 14,343.98, 19,778.71 and 9,301.58

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Solution

The fourth proportional to 14,343.98, 19,778.71 and 9,301.58 is: 12,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,343.98 : 19,778.71 = 9,301.58 : x
  2. Step 2: Convert to fraction form
    14,343.98/19,778.71 = 9,301.58/x
  3. Step 3: Cross multiply
    14,343.98x = 19,778.71 × 9,301.58
  4. Step 4: Simplify right side
    14,343.98x = 183,973,253.36
  5. Step 5: Solve for x
    x = 183,973,253.36/14,343.98
  6. Step 6: Final answer
    x = 12,825.82

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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.