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Finding the Fourth Proportional to 15,924, 23,894.76 and 7,716

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Solution

The fourth proportional to 15,924, 23,894.76 and 7,716 is: 11,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924 : 23,894.76 = 7,716 : x
  2. Step 2: Convert to fraction form
    15,924/23,894.76 = 7,716/x
  3. Step 3: Cross multiply
    15,924x = 23,894.76 × 7,716
  4. Step 4: Simplify right side
    15,924x = 184,371,968.16
  5. Step 5: Solve for x
    x = 184,371,968.16/15,924
  6. Step 6: Final answer
    x = 11,578.24

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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.