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Finding the Fourth Proportional to 22,931.01, 34,389.34 and 9,603.98

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Solution

The fourth proportional to 22,931.01, 34,389.34 and 9,603.98 is: 14,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,931.01 : 34,389.34 = 9,603.98 : x
  2. Step 2: Convert to fraction form
    22,931.01/34,389.34 = 9,603.98/x
  3. Step 3: Cross multiply
    22,931.01x = 34,389.34 × 9,603.98
  4. Step 4: Simplify right side
    22,931.01x = 330,274,533.57
  5. Step 5: Solve for x
    x = 330,274,533.57/22,931.01
  6. Step 6: Final answer
    x = 14,402.96

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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.