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Finding the Fourth Proportional to 14,417.95, 21,614.09 and 7,758.08

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Solution

The fourth proportional to 14,417.95, 21,614.09 and 7,758.08 is: 11,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.95 : 21,614.09 = 7,758.08 : x
  2. Step 2: Convert to fraction form
    14,417.95/21,614.09 = 7,758.08/x
  3. Step 3: Cross multiply
    14,417.95x = 21,614.09 × 7,758.08
  4. Step 4: Simplify right side
    14,417.95x = 167,683,817.18
  5. Step 5: Solve for x
    x = 167,683,817.18/14,417.95
  6. Step 6: Final answer
    x = 11,630.21

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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.