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Finding the Fourth Proportional to 21,064.95, 31,598.09 and 9,212.63

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Solution

The fourth proportional to 21,064.95, 31,598.09 and 9,212.63 is: 13,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,064.95 : 31,598.09 = 9,212.63 : x
  2. Step 2: Convert to fraction form
    21,064.95/31,598.09 = 9,212.63/x
  3. Step 3: Cross multiply
    21,064.95x = 31,598.09 × 9,212.63
  4. Step 4: Simplify right side
    21,064.95x = 291,101,307.82
  5. Step 5: Solve for x
    x = 291,101,307.82/21,064.95
  6. Step 6: Final answer
    x = 13,819.23

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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.