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Finding the Fourth Proportional to 14,440.14, 21,655.80 and 6,120

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Solution

The fourth proportional to 14,440.14, 21,655.80 and 6,120 is: 9,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,440.14 : 21,655.80 = 6,120 : x
  2. Step 2: Convert to fraction form
    14,440.14/21,655.80 = 6,120/x
  3. Step 3: Cross multiply
    14,440.14x = 21,655.80 × 6,120
  4. Step 4: Simplify right side
    14,440.14x = 132,533,496
  5. Step 5: Solve for x
    x = 132,533,496/14,440.14
  6. Step 6: Final answer
    x = 9,178.13

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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.