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Finding the Fourth Proportional to 19,549.72, 26,978.63 and 10,597.21

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Solution

The fourth proportional to 19,549.72, 26,978.63 and 10,597.21 is: 14,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.72 : 26,978.63 = 10,597.21 : x
  2. Step 2: Convert to fraction form
    19,549.72/26,978.63 = 10,597.21/x
  3. Step 3: Cross multiply
    19,549.72x = 26,978.63 × 10,597.21
  4. Step 4: Simplify right side
    19,549.72x = 285,898,154.64
  5. Step 5: Solve for x
    x = 285,898,154.64/19,549.72
  6. Step 6: Final answer
    x = 14,624.16

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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.