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Finding the Fourth Proportional to 23,206, 32,024.32 and 13,270

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Solution

The fourth proportional to 23,206, 32,024.32 and 13,270 is: 18,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206 : 32,024.32 = 13,270 : x
  2. Step 2: Convert to fraction form
    23,206/32,024.32 = 13,270/x
  3. Step 3: Cross multiply
    23,206x = 32,024.32 × 13,270
  4. Step 4: Simplify right side
    23,206x = 424,962,726.40
  5. Step 5: Solve for x
    x = 424,962,726.40/23,206
  6. Step 6: Final answer
    x = 18,312.62

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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.