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Finding the Fourth Proportional to 19,687, 29,547.54 and 10,333.62

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Solution

The fourth proportional to 19,687, 29,547.54 and 10,333.62 is: 15,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687 : 29,547.54 = 10,333.62 : x
  2. Step 2: Convert to fraction form
    19,687/29,547.54 = 10,333.62/x
  3. Step 3: Cross multiply
    19,687x = 29,547.54 × 10,333.62
  4. Step 4: Simplify right side
    19,687x = 305,333,050.29
  5. Step 5: Solve for x
    x = 305,333,050.29/19,687
  6. Step 6: Final answer
    x = 15,509.37

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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.