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Finding the Fourth Proportional to 23,130.64, 34,706.70 and 7,338.16

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Solution

The fourth proportional to 23,130.64, 34,706.70 and 7,338.16 is: 11,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.64 : 34,706.70 = 7,338.16 : x
  2. Step 2: Convert to fraction form
    23,130.64/34,706.70 = 7,338.16/x
  3. Step 3: Cross multiply
    23,130.64x = 34,706.70 × 7,338.16
  4. Step 4: Simplify right side
    23,130.64x = 254,683,317.67
  5. Step 5: Solve for x
    x = 254,683,317.67/23,130.64
  6. Step 6: Final answer
    x = 11,010.65

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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.