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Finding the Fourth Proportional to 14,889.48, 22,322.34 and 7,490.13

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Solution

The fourth proportional to 14,889.48, 22,322.34 and 7,490.13 is: 11,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,889.48 : 22,322.34 = 7,490.13 : x
  2. Step 2: Convert to fraction form
    14,889.48/22,322.34 = 7,490.13/x
  3. Step 3: Cross multiply
    14,889.48x = 22,322.34 × 7,490.13
  4. Step 4: Simplify right side
    14,889.48x = 167,197,228.50
  5. Step 5: Solve for x
    x = 167,197,228.50/14,889.48
  6. Step 6: Final answer
    x = 11,229.22

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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.