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Finding the Fourth Proportional to 23,153.12, 34,725.53 and 6,509.16

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Solution

The fourth proportional to 23,153.12, 34,725.53 and 6,509.16 is: 9,762.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,153.12 : 34,725.53 = 6,509.16 : x
  2. Step 2: Convert to fraction form
    23,153.12/34,725.53 = 6,509.16/x
  3. Step 3: Cross multiply
    23,153.12x = 34,725.53 × 6,509.16
  4. Step 4: Simplify right side
    23,153.12x = 226,034,030.85
  5. Step 5: Solve for x
    x = 226,034,030.85/23,153.12
  6. Step 6: Final answer
    x = 9,762.57

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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.