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Finding the Fourth Proportional to 15,409, 23,117.34 and 4,465

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Solution

The fourth proportional to 15,409, 23,117.34 and 4,465 is: 6,698.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409 : 23,117.34 = 4,465 : x
  2. Step 2: Convert to fraction form
    15,409/23,117.34 = 4,465/x
  3. Step 3: Cross multiply
    15,409x = 23,117.34 × 4,465
  4. Step 4: Simplify right side
    15,409x = 103,218,923.10
  5. Step 5: Solve for x
    x = 103,218,923.10/15,409
  6. Step 6: Final answer
    x = 6,698.61

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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.