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Finding the Fourth Proportional to 17,807.04, 26,710.56 and 7,411.50

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Solution

The fourth proportional to 17,807.04, 26,710.56 and 7,411.50 is: 11,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.04 : 26,710.56 = 7,411.50 : x
  2. Step 2: Convert to fraction form
    17,807.04/26,710.56 = 7,411.50/x
  3. Step 3: Cross multiply
    17,807.04x = 26,710.56 × 7,411.50
  4. Step 4: Simplify right side
    17,807.04x = 197,965,315.44
  5. Step 5: Solve for x
    x = 197,965,315.44/17,807.04
  6. Step 6: Final answer
    x = 11,117.25

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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.