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Finding the Fourth Proportional to 14,462.74, 21,669.34 and 9,710.02

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Solution

The fourth proportional to 14,462.74, 21,669.34 and 9,710.02 is: 14,548.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.74 : 21,669.34 = 9,710.02 : x
  2. Step 2: Convert to fraction form
    14,462.74/21,669.34 = 9,710.02/x
  3. Step 3: Cross multiply
    14,462.74x = 21,669.34 × 9,710.02
  4. Step 4: Simplify right side
    14,462.74x = 210,409,724.79
  5. Step 5: Solve for x
    x = 210,409,724.79/14,462.74
  6. Step 6: Final answer
    x = 14,548.40

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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.