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Finding the Fourth Proportional to 22,345.23, 30,825.02 and 14,270.40

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Solution

The fourth proportional to 22,345.23, 30,825.02 and 14,270.40 is: 19,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,345.23 : 30,825.02 = 14,270.40 : x
  2. Step 2: Convert to fraction form
    22,345.23/30,825.02 = 14,270.40/x
  3. Step 3: Cross multiply
    22,345.23x = 30,825.02 × 14,270.40
  4. Step 4: Simplify right side
    22,345.23x = 439,885,294.06
  5. Step 5: Solve for x
    x = 439,885,294.06/22,345.23
  6. Step 6: Final answer
    x = 19,685.87

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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.