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Finding the Fourth Proportional to 14,244.96, 19,658.79 and 9,210

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Solution

The fourth proportional to 14,244.96, 19,658.79 and 9,210 is: 12,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.96 : 19,658.79 = 9,210 : x
  2. Step 2: Convert to fraction form
    14,244.96/19,658.79 = 9,210/x
  3. Step 3: Cross multiply
    14,244.96x = 19,658.79 × 9,210
  4. Step 4: Simplify right side
    14,244.96x = 181,057,455.90
  5. Step 5: Solve for x
    x = 181,057,455.90/14,244.96
  6. Step 6: Final answer
    x = 12,710.28

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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.