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Finding the Fourth Proportional to 19,312.52, 28,968.51 and 5,461.52

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Solution

The fourth proportional to 19,312.52, 28,968.51 and 5,461.52 is: 8,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312.52 : 28,968.51 = 5,461.52 : x
  2. Step 2: Convert to fraction form
    19,312.52/28,968.51 = 5,461.52/x
  3. Step 3: Cross multiply
    19,312.52x = 28,968.51 × 5,461.52
  4. Step 4: Simplify right side
    19,312.52x = 158,212,096.74
  5. Step 5: Solve for x
    x = 158,212,096.74/19,312.52
  6. Step 6: Final answer
    x = 8,192.20

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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.