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Finding the Fourth Proportional to 23,530.34, 35,302.42 and 9,483.16

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Solution

The fourth proportional to 23,530.34, 35,302.42 and 9,483.16 is: 14,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.34 : 35,302.42 = 9,483.16 : x
  2. Step 2: Convert to fraction form
    23,530.34/35,302.42 = 9,483.16/x
  3. Step 3: Cross multiply
    23,530.34x = 35,302.42 × 9,483.16
  4. Step 4: Simplify right side
    23,530.34x = 334,778,324.77
  5. Step 5: Solve for x
    x = 334,778,324.77/23,530.34
  6. Step 6: Final answer
    x = 14,227.52

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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.