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Finding the Fourth Proportional to 23,130, 34,719.98 and 11,467.89

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Solution

The fourth proportional to 23,130, 34,719.98 and 11,467.89 is: 17,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130 : 34,719.98 = 11,467.89 : x
  2. Step 2: Convert to fraction form
    23,130/34,719.98 = 11,467.89/x
  3. Step 3: Cross multiply
    23,130x = 34,719.98 × 11,467.89
  4. Step 4: Simplify right side
    23,130x = 398,164,854.10
  5. Step 5: Solve for x
    x = 398,164,854.10/23,130
  6. Step 6: Final answer
    x = 17,214.22

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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.