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Finding the Fourth Proportional to 13,783.62, 19,029.19 and 10,547.36

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Solution

The fourth proportional to 13,783.62, 19,029.19 and 10,547.36 is: 14,561.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.62 : 19,029.19 = 10,547.36 : x
  2. Step 2: Convert to fraction form
    13,783.62/19,029.19 = 10,547.36/x
  3. Step 3: Cross multiply
    13,783.62x = 19,029.19 × 10,547.36
  4. Step 4: Simplify right side
    13,783.62x = 200,707,717.44
  5. Step 5: Solve for x
    x = 200,707,717.44/13,783.62
  6. Step 6: Final answer
    x = 14,561.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.