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Finding the Fourth Proportional to 23,885.84, 35,829.11 and 9,095.58

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Solution

The fourth proportional to 23,885.84, 35,829.11 and 9,095.58 is: 13,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.84 : 35,829.11 = 9,095.58 : x
  2. Step 2: Convert to fraction form
    23,885.84/35,829.11 = 9,095.58/x
  3. Step 3: Cross multiply
    23,885.84x = 35,829.11 × 9,095.58
  4. Step 4: Simplify right side
    23,885.84x = 325,886,490.86
  5. Step 5: Solve for x
    x = 325,886,490.86/23,885.84
  6. Step 6: Final answer
    x = 13,643.50

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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.