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Finding the Fourth Proportional to 15,807.40, 21,817.02 and 9,434.38

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Solution

The fourth proportional to 15,807.40, 21,817.02 and 9,434.38 is: 13,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.40 : 21,817.02 = 9,434.38 : x
  2. Step 2: Convert to fraction form
    15,807.40/21,817.02 = 9,434.38/x
  3. Step 3: Cross multiply
    15,807.40x = 21,817.02 × 9,434.38
  4. Step 4: Simplify right side
    15,807.40x = 205,830,057.15
  5. Step 5: Solve for x
    x = 205,830,057.15/15,807.40
  6. Step 6: Final answer
    x = 13,021.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.