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Finding the Fourth Proportional to 17,678.44, 24,393.54 and 10,225

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Solution

The fourth proportional to 17,678.44, 24,393.54 and 10,225 is: 14,108.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.44 : 24,393.54 = 10,225 : x
  2. Step 2: Convert to fraction form
    17,678.44/24,393.54 = 10,225/x
  3. Step 3: Cross multiply
    17,678.44x = 24,393.54 × 10,225
  4. Step 4: Simplify right side
    17,678.44x = 249,423,946.50
  5. Step 5: Solve for x
    x = 249,423,946.50/17,678.44
  6. Step 6: Final answer
    x = 14,108.93

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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.