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Finding the Fourth Proportional to 21,056.95, 31,577.73 and 7,905.79

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Solution

The fourth proportional to 21,056.95, 31,577.73 and 7,905.79 is: 11,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,056.95 : 31,577.73 = 7,905.79 : x
  2. Step 2: Convert to fraction form
    21,056.95/31,577.73 = 7,905.79/x
  3. Step 3: Cross multiply
    21,056.95x = 31,577.73 × 7,905.79
  4. Step 4: Simplify right side
    21,056.95x = 249,646,902.06
  5. Step 5: Solve for x
    x = 249,646,902.06/21,056.95
  6. Step 6: Final answer
    x = 11,855.80

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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.