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Finding the Fourth Proportional to 21,683.98, 32,510.28 and 14,646.58

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Solution

The fourth proportional to 21,683.98, 32,510.28 and 14,646.58 is: 21,959.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,683.98 : 32,510.28 = 14,646.58 : x
  2. Step 2: Convert to fraction form
    21,683.98/32,510.28 = 14,646.58/x
  3. Step 3: Cross multiply
    21,683.98x = 32,510.28 × 14,646.58
  4. Step 4: Simplify right side
    21,683.98x = 476,164,416.84
  5. Step 5: Solve for x
    x = 476,164,416.84/21,683.98
  6. Step 6: Final answer
    x = 21,959.27

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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.