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Finding the Fourth Proportional to 15,805.62, 21,802.61 and 10,138.35

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Solution

The fourth proportional to 15,805.62, 21,802.61 and 10,138.35 is: 13,985.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.62 : 21,802.61 = 10,138.35 : x
  2. Step 2: Convert to fraction form
    15,805.62/21,802.61 = 10,138.35/x
  3. Step 3: Cross multiply
    15,805.62x = 21,802.61 × 10,138.35
  4. Step 4: Simplify right side
    15,805.62x = 221,042,440.40
  5. Step 5: Solve for x
    x = 221,042,440.40/15,805.62
  6. Step 6: Final answer
    x = 13,985.05

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