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Finding the Fourth Proportional to 15,490.23, 23,232.49 and 7,054.74

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Solution

The fourth proportional to 15,490.23, 23,232.49 and 7,054.74 is: 10,580.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490.23 : 23,232.49 = 7,054.74 : x
  2. Step 2: Convert to fraction form
    15,490.23/23,232.49 = 7,054.74/x
  3. Step 3: Cross multiply
    15,490.23x = 23,232.49 × 7,054.74
  4. Step 4: Simplify right side
    15,490.23x = 163,899,176.50
  5. Step 5: Solve for x
    x = 163,899,176.50/15,490.23
  6. Step 6: Final answer
    x = 10,580.81

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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.