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Finding the Fourth Proportional to 15,762.17, 21,751.66 and 9,048.89

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Solution

The fourth proportional to 15,762.17, 21,751.66 and 9,048.89 is: 12,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.17 : 21,751.66 = 9,048.89 : x
  2. Step 2: Convert to fraction form
    15,762.17/21,751.66 = 9,048.89/x
  3. Step 3: Cross multiply
    15,762.17x = 21,751.66 × 9,048.89
  4. Step 4: Simplify right side
    15,762.17x = 196,828,378.66
  5. Step 5: Solve for x
    x = 196,828,378.66/15,762.17
  6. Step 6: Final answer
    x = 12,487.39

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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.