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Finding the Fourth Proportional to 13,065.92, 19,598.93 and 3,705.66

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Solution

The fourth proportional to 13,065.92, 19,598.93 and 3,705.66 is: 5,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.92 : 19,598.93 = 3,705.66 : x
  2. Step 2: Convert to fraction form
    13,065.92/19,598.93 = 3,705.66/x
  3. Step 3: Cross multiply
    13,065.92x = 19,598.93 × 3,705.66
  4. Step 4: Simplify right side
    13,065.92x = 72,626,966.31
  5. Step 5: Solve for x
    x = 72,626,966.31/13,065.92
  6. Step 6: Final answer
    x = 5,558.50

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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.