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Finding the Fourth Proportional to 23,312, 34,959.76 and 7,516.40

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Solution

The fourth proportional to 23,312, 34,959.76 and 7,516.40 is: 11,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312 : 34,959.76 = 7,516.40 : x
  2. Step 2: Convert to fraction form
    23,312/34,959.76 = 7,516.40/x
  3. Step 3: Cross multiply
    23,312x = 34,959.76 × 7,516.40
  4. Step 4: Simplify right side
    23,312x = 262,771,540.06
  5. Step 5: Solve for x
    x = 262,771,540.06/23,312
  6. Step 6: Final answer
    x = 11,271.94

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Why These Related Problems?

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