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Finding the Fourth Proportional to 15,709.62, 23,564.43 and 9,870.33

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Solution

The fourth proportional to 15,709.62, 23,564.43 and 9,870.33 is: 14,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.62 : 23,564.43 = 9,870.33 : x
  2. Step 2: Convert to fraction form
    15,709.62/23,564.43 = 9,870.33/x
  3. Step 3: Cross multiply
    15,709.62x = 23,564.43 × 9,870.33
  4. Step 4: Simplify right side
    15,709.62x = 232,588,700.36
  5. Step 5: Solve for x
    x = 232,588,700.36/15,709.62
  6. Step 6: Final answer
    x = 14,805.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.