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Finding the Fourth Proportional to 10,594.49, 14,577.21 and 9,719.69

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Solution

The fourth proportional to 10,594.49, 14,577.21 and 9,719.69 is: 13,373.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,594.49 : 14,577.21 = 9,719.69 : x
  2. Step 2: Convert to fraction form
    10,594.49/14,577.21 = 9,719.69/x
  3. Step 3: Cross multiply
    10,594.49x = 14,577.21 × 9,719.69
  4. Step 4: Simplify right side
    10,594.49x = 141,685,889.38
  5. Step 5: Solve for x
    x = 141,685,889.38/10,594.49
  6. Step 6: Final answer
    x = 13,373.55

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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.