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Finding the Fourth Proportional to 12,030.24, 18,054 and 7,416.48

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Solution

The fourth proportional to 12,030.24, 18,054 and 7,416.48 is: 11,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.24 : 18,054 = 7,416.48 : x
  2. Step 2: Convert to fraction form
    12,030.24/18,054 = 7,416.48/x
  3. Step 3: Cross multiply
    12,030.24x = 18,054 × 7,416.48
  4. Step 4: Simplify right side
    12,030.24x = 133,897,129.92
  5. Step 5: Solve for x
    x = 133,897,129.92/12,030.24
  6. Step 6: Final answer
    x = 11,130.05

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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.