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Finding the Fourth Proportional to 23,465.84, 35,194.92 and 7,046

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Solution

The fourth proportional to 23,465.84, 35,194.92 and 7,046 is: 10,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.84 : 35,194.92 = 7,046 : x
  2. Step 2: Convert to fraction form
    23,465.84/35,194.92 = 7,046/x
  3. Step 3: Cross multiply
    23,465.84x = 35,194.92 × 7,046
  4. Step 4: Simplify right side
    23,465.84x = 247,983,406.32
  5. Step 5: Solve for x
    x = 247,983,406.32/23,465.84
  6. Step 6: Final answer
    x = 10,567.85

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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.