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Finding the Fourth Proportional to 21,547.81, 32,313.70 and 7,504.23

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Solution

The fourth proportional to 21,547.81, 32,313.70 and 7,504.23 is: 11,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.81 : 32,313.70 = 7,504.23 : x
  2. Step 2: Convert to fraction form
    21,547.81/32,313.70 = 7,504.23/x
  3. Step 3: Cross multiply
    21,547.81x = 32,313.70 × 7,504.23
  4. Step 4: Simplify right side
    21,547.81x = 242,489,436.95
  5. Step 5: Solve for x
    x = 242,489,436.95/21,547.81
  6. Step 6: Final answer
    x = 11,253.55

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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.