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Finding the Fourth Proportional to 13,024.05, 19,547.07 and 5,634.15

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Solution

The fourth proportional to 13,024.05, 19,547.07 and 5,634.15 is: 8,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.05 : 19,547.07 = 5,634.15 : x
  2. Step 2: Convert to fraction form
    13,024.05/19,547.07 = 5,634.15/x
  3. Step 3: Cross multiply
    13,024.05x = 19,547.07 × 5,634.15
  4. Step 4: Simplify right side
    13,024.05x = 110,131,124.44
  5. Step 5: Solve for x
    x = 110,131,124.44/13,024.05
  6. Step 6: Final answer
    x = 8,455.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.