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Finding the Fourth Proportional to 21,095.26, 31,643.46 and 9,242.93

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Solution

The fourth proportional to 21,095.26, 31,643.46 and 9,242.93 is: 13,864.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,095.26 : 31,643.46 = 9,242.93 : x
  2. Step 2: Convert to fraction form
    21,095.26/31,643.46 = 9,242.93/x
  3. Step 3: Cross multiply
    21,095.26x = 31,643.46 × 9,242.93
  4. Step 4: Simplify right side
    21,095.26x = 292,478,364.85
  5. Step 5: Solve for x
    x = 292,478,364.85/21,095.26
  6. Step 6: Final answer
    x = 13,864.65

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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.