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Finding the Fourth Proportional to 14,563.58, 21,850.13 and 4,702.93

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Solution

The fourth proportional to 14,563.58, 21,850.13 and 4,702.93 is: 7,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.58 : 21,850.13 = 4,702.93 : x
  2. Step 2: Convert to fraction form
    14,563.58/21,850.13 = 4,702.93/x
  3. Step 3: Cross multiply
    14,563.58x = 21,850.13 × 4,702.93
  4. Step 4: Simplify right side
    14,563.58x = 102,759,589.01
  5. Step 5: Solve for x
    x = 102,759,589.01/14,563.58
  6. Step 6: Final answer
    x = 7,055.93

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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.