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Finding the Fourth Proportional to 14,681.80, 22,022.70 and 7,683.40

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Solution

The fourth proportional to 14,681.80, 22,022.70 and 7,683.40 is: 11,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.80 : 22,022.70 = 7,683.40 : x
  2. Step 2: Convert to fraction form
    14,681.80/22,022.70 = 7,683.40/x
  3. Step 3: Cross multiply
    14,681.80x = 22,022.70 × 7,683.40
  4. Step 4: Simplify right side
    14,681.80x = 169,209,213.18
  5. Step 5: Solve for x
    x = 169,209,213.18/14,681.80
  6. Step 6: Final answer
    x = 11,525.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.