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Finding the Fourth Proportional to 21,312.90, 31,974.03 and 6,522.98

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Solution

The fourth proportional to 21,312.90, 31,974.03 and 6,522.98 is: 9,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,312.90 : 31,974.03 = 6,522.98 : x
  2. Step 2: Convert to fraction form
    21,312.90/31,974.03 = 6,522.98/x
  3. Step 3: Cross multiply
    21,312.90x = 31,974.03 × 6,522.98
  4. Step 4: Simplify right side
    21,312.90x = 208,565,798.34
  5. Step 5: Solve for x
    x = 208,565,798.34/21,312.90
  6. Step 6: Final answer
    x = 9,785.89

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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.