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Finding the Fourth Proportional to 15,669.23, 23,509.98 and 6,897.99

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Solution

The fourth proportional to 15,669.23, 23,509.98 and 6,897.99 is: 10,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,669.23 : 23,509.98 = 6,897.99 : x
  2. Step 2: Convert to fraction form
    15,669.23/23,509.98 = 6,897.99/x
  3. Step 3: Cross multiply
    15,669.23x = 23,509.98 × 6,897.99
  4. Step 4: Simplify right side
    15,669.23x = 162,171,606.94
  5. Step 5: Solve for x
    x = 162,171,606.94/15,669.23
  6. Step 6: Final answer
    x = 10,349.69

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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.