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Finding the Fourth Proportional to 21,106.49, 31,653.36 and 7,062.93

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Solution

The fourth proportional to 21,106.49, 31,653.36 and 7,062.93 is: 10,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.49 : 31,653.36 = 7,062.93 : x
  2. Step 2: Convert to fraction form
    21,106.49/31,653.36 = 7,062.93/x
  3. Step 3: Cross multiply
    21,106.49x = 31,653.36 × 7,062.93
  4. Step 4: Simplify right side
    21,106.49x = 223,565,465.94
  5. Step 5: Solve for x
    x = 223,565,465.94/21,106.49
  6. Step 6: Final answer
    x = 10,592.26

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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.