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Finding the Fourth Proportional to 13,089.16, 19,638.94 and 4,769.74

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Solution

The fourth proportional to 13,089.16, 19,638.94 and 4,769.74 is: 7,156.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.16 : 19,638.94 = 4,769.74 : x
  2. Step 2: Convert to fraction form
    13,089.16/19,638.94 = 4,769.74/x
  3. Step 3: Cross multiply
    13,089.16x = 19,638.94 × 4,769.74
  4. Step 4: Simplify right side
    13,089.16x = 93,672,637.68
  5. Step 5: Solve for x
    x = 93,672,637.68/13,089.16
  6. Step 6: Final answer
    x = 7,156.50

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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.