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Finding the Fourth Proportional to 14,017.10, 19,343.34 and 7,643.74

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Solution

The fourth proportional to 14,017.10, 19,343.34 and 7,643.74 is: 10,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,017.10 : 19,343.34 = 7,643.74 : x
  2. Step 2: Convert to fraction form
    14,017.10/19,343.34 = 7,643.74/x
  3. Step 3: Cross multiply
    14,017.10x = 19,343.34 × 7,643.74
  4. Step 4: Simplify right side
    14,017.10x = 147,855,461.69
  5. Step 5: Solve for x
    x = 147,855,461.69/14,017.10
  6. Step 6: Final answer
    x = 10,548.22

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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.