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Finding the Fourth Proportional to 23,830.81, 35,709.35 and 9,031.70

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Solution

The fourth proportional to 23,830.81, 35,709.35 and 9,031.70 is: 13,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.81 : 35,709.35 = 9,031.70 : x
  2. Step 2: Convert to fraction form
    23,830.81/35,709.35 = 9,031.70/x
  3. Step 3: Cross multiply
    23,830.81x = 35,709.35 × 9,031.70
  4. Step 4: Simplify right side
    23,830.81x = 322,516,136.40
  5. Step 5: Solve for x
    x = 322,516,136.40/23,830.81
  6. Step 6: Final answer
    x = 13,533.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.