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Finding the Fourth Proportional to 21,497.34, 32,071.43 and 20,334.77

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Solution

The fourth proportional to 21,497.34, 32,071.43 and 20,334.77 is: 30,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.34 : 32,071.43 = 20,334.77 : x
  2. Step 2: Convert to fraction form
    21,497.34/32,071.43 = 20,334.77/x
  3. Step 3: Cross multiply
    21,497.34x = 32,071.43 × 20,334.77
  4. Step 4: Simplify right side
    21,497.34x = 652,164,890.59
  5. Step 5: Solve for x
    x = 652,164,890.59/21,497.34
  6. Step 6: Final answer
    x = 30,337.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.