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Finding the Fourth Proportional to 19,483.81, 29,218.54 and 7,000.50

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Solution

The fourth proportional to 19,483.81, 29,218.54 and 7,000.50 is: 10,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,483.81 : 29,218.54 = 7,000.50 : x
  2. Step 2: Convert to fraction form
    19,483.81/29,218.54 = 7,000.50/x
  3. Step 3: Cross multiply
    19,483.81x = 29,218.54 × 7,000.50
  4. Step 4: Simplify right side
    19,483.81x = 204,544,225.68
  5. Step 5: Solve for x
    x = 204,544,225.68/19,483.81
  6. Step 6: Final answer
    x = 10,498.16

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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.