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Finding the Fourth Proportional to 12,038.16, 18,058 and 5,017.44

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Solution

The fourth proportional to 12,038.16, 18,058 and 5,017.44 is: 7,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038.16 : 18,058 = 5,017.44 : x
  2. Step 2: Convert to fraction form
    12,038.16/18,058 = 5,017.44/x
  3. Step 3: Cross multiply
    12,038.16x = 18,058 × 5,017.44
  4. Step 4: Simplify right side
    12,038.16x = 90,604,931.52
  5. Step 5: Solve for x
    x = 90,604,931.52/12,038.16
  6. Step 6: Final answer
    x = 7,526.48

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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.