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Finding the Fourth Proportional to 21,313.34, 31,970.04 and 6,522.20

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Solution

The fourth proportional to 21,313.34, 31,970.04 and 6,522.20 is: 9,783.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.34 : 31,970.04 = 6,522.20 : x
  2. Step 2: Convert to fraction form
    21,313.34/31,970.04 = 6,522.20/x
  3. Step 3: Cross multiply
    21,313.34x = 31,970.04 × 6,522.20
  4. Step 4: Simplify right side
    21,313.34x = 208,514,994.89
  5. Step 5: Solve for x
    x = 208,514,994.89/21,313.34
  6. Step 6: Final answer
    x = 9,783.31

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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.