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Finding the Fourth Proportional to 14,242.83, 19,655.04 and 7,955.22

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Solution

The fourth proportional to 14,242.83, 19,655.04 and 7,955.22 is: 10,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.83 : 19,655.04 = 7,955.22 : x
  2. Step 2: Convert to fraction form
    14,242.83/19,655.04 = 7,955.22/x
  3. Step 3: Cross multiply
    14,242.83x = 19,655.04 × 7,955.22
  4. Step 4: Simplify right side
    14,242.83x = 156,360,167.31
  5. Step 5: Solve for x
    x = 156,360,167.31/14,242.83
  6. Step 6: Final answer
    x = 10,978.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.