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Finding the Fourth Proportional to 15,710.86, 21,678.90 and 9,740.35

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Solution

The fourth proportional to 15,710.86, 21,678.90 and 9,740.35 is: 13,440.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,710.86 : 21,678.90 = 9,740.35 : x
  2. Step 2: Convert to fraction form
    15,710.86/21,678.90 = 9,740.35/x
  3. Step 3: Cross multiply
    15,710.86x = 21,678.90 × 9,740.35
  4. Step 4: Simplify right side
    15,710.86x = 211,160,073.62
  5. Step 5: Solve for x
    x = 211,160,073.62/15,710.86
  6. Step 6: Final answer
    x = 13,440.39

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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.