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Finding the Fourth Proportional to 13,225.87, 19,841.54 and 5,830.17

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Solution

The fourth proportional to 13,225.87, 19,841.54 and 5,830.17 is: 8,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.87 : 19,841.54 = 5,830.17 : x
  2. Step 2: Convert to fraction form
    13,225.87/19,841.54 = 5,830.17/x
  3. Step 3: Cross multiply
    13,225.87x = 19,841.54 × 5,830.17
  4. Step 4: Simplify right side
    13,225.87x = 115,679,551.26
  5. Step 5: Solve for x
    x = 115,679,551.26/13,225.87
  6. Step 6: Final answer
    x = 8,746.46

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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.