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Finding the Fourth Proportional to 14,657.84, 21,990.86 and 4,804.04

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Solution

The fourth proportional to 14,657.84, 21,990.86 and 4,804.04 is: 7,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.84 : 21,990.86 = 4,804.04 : x
  2. Step 2: Convert to fraction form
    14,657.84/21,990.86 = 4,804.04/x
  3. Step 3: Cross multiply
    14,657.84x = 21,990.86 × 4,804.04
  4. Step 4: Simplify right side
    14,657.84x = 105,644,855.12
  5. Step 5: Solve for x
    x = 105,644,855.12/14,657.84
  6. Step 6: Final answer
    x = 7,207.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.