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Finding the Fourth Proportional to 13,047.31, 18,018.07 and 9,024.44

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Solution

The fourth proportional to 13,047.31, 18,018.07 and 9,024.44 is: 12,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.31 : 18,018.07 = 9,024.44 : x
  2. Step 2: Convert to fraction form
    13,047.31/18,018.07 = 9,024.44/x
  3. Step 3: Cross multiply
    13,047.31x = 18,018.07 × 9,024.44
  4. Step 4: Simplify right side
    13,047.31x = 162,602,991.63
  5. Step 5: Solve for x
    x = 162,602,991.63/13,047.31
  6. Step 6: Final answer
    x = 12,462.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.