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Finding the Fourth Proportional to 15,916, 23,705.88 and 15,083.32

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Solution

The fourth proportional to 15,916, 23,705.88 and 15,083.32 is: 22,465.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916 : 23,705.88 = 15,083.32 : x
  2. Step 2: Convert to fraction form
    15,916/23,705.88 = 15,083.32/x
  3. Step 3: Cross multiply
    15,916x = 23,705.88 × 15,083.32
  4. Step 4: Simplify right side
    15,916x = 357,563,336.21
  5. Step 5: Solve for x
    x = 357,563,336.21/15,916
  6. Step 6: Final answer
    x = 22,465.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.