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Finding the Fourth Proportional to 14,897.84, 22,354.62 and 6,583.58

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Solution

The fourth proportional to 14,897.84, 22,354.62 and 6,583.58 is: 9,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.84 : 22,354.62 = 6,583.58 : x
  2. Step 2: Convert to fraction form
    14,897.84/22,354.62 = 6,583.58/x
  3. Step 3: Cross multiply
    14,897.84x = 22,354.62 × 6,583.58
  4. Step 4: Simplify right side
    14,897.84x = 147,173,429.14
  5. Step 5: Solve for x
    x = 147,173,429.14/14,897.84
  6. Step 6: Final answer
    x = 9,878.84

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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.