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Finding the Fourth Proportional to 21,007.34, 31,509.18 and 6,962.75

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Solution

The fourth proportional to 21,007.34, 31,509.18 and 6,962.75 is: 10,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.34 : 31,509.18 = 6,962.75 : x
  2. Step 2: Convert to fraction form
    21,007.34/31,509.18 = 6,962.75/x
  3. Step 3: Cross multiply
    21,007.34x = 31,509.18 × 6,962.75
  4. Step 4: Simplify right side
    21,007.34x = 219,390,385.50
  5. Step 5: Solve for x
    x = 219,390,385.50/21,007.34
  6. Step 6: Final answer
    x = 10,443.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.