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Finding the Fourth Proportional to 15,689.02, 23,537.04 and 5,300.50

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Solution

The fourth proportional to 15,689.02, 23,537.04 and 5,300.50 is: 7,951.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.02 : 23,537.04 = 5,300.50 : x
  2. Step 2: Convert to fraction form
    15,689.02/23,537.04 = 5,300.50/x
  3. Step 3: Cross multiply
    15,689.02x = 23,537.04 × 5,300.50
  4. Step 4: Simplify right side
    15,689.02x = 124,758,080.52
  5. Step 5: Solve for x
    x = 124,758,080.52/15,689.02
  6. Step 6: Final answer
    x = 7,951.94

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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.