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Finding the Fourth Proportional to 21,094.56, 31,646.40 and 7,055.84

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Solution

The fourth proportional to 21,094.56, 31,646.40 and 7,055.84 is: 10,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,094.56 : 31,646.40 = 7,055.84 : x
  2. Step 2: Convert to fraction form
    21,094.56/31,646.40 = 7,055.84/x
  3. Step 3: Cross multiply
    21,094.56x = 31,646.40 × 7,055.84
  4. Step 4: Simplify right side
    21,094.56x = 223,291,987.63
  5. Step 5: Solve for x
    x = 223,291,987.63/21,094.56
  6. Step 6: Final answer
    x = 10,585.29

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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.