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Finding the Fourth Proportional to 21,698.84, 32,511.07 and 14,569.72

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Solution

The fourth proportional to 21,698.84, 32,511.07 and 14,569.72 is: 21,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,698.84 : 32,511.07 = 14,569.72 : x
  2. Step 2: Convert to fraction form
    21,698.84/32,511.07 = 14,569.72/x
  3. Step 3: Cross multiply
    21,698.84x = 32,511.07 × 14,569.72
  4. Step 4: Simplify right side
    21,698.84x = 473,677,306.61
  5. Step 5: Solve for x
    x = 473,677,306.61/21,698.84
  6. Step 6: Final answer
    x = 21,829.62

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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.