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Finding the Fourth Proportional to 14,442.68, 19,918.42 and 9,405

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Solution

The fourth proportional to 14,442.68, 19,918.42 and 9,405 is: 12,970.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.68 : 19,918.42 = 9,405 : x
  2. Step 2: Convert to fraction form
    14,442.68/19,918.42 = 9,405/x
  3. Step 3: Cross multiply
    14,442.68x = 19,918.42 × 9,405
  4. Step 4: Simplify right side
    14,442.68x = 187,332,740.10
  5. Step 5: Solve for x
    x = 187,332,740.10/14,442.68
  6. Step 6: Final answer
    x = 12,970.77

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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.