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Finding the Fourth Proportional to 15,702.59, 23,554.02 and 4,609.46

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Solution

The fourth proportional to 15,702.59, 23,554.02 and 4,609.46 is: 6,914.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.59 : 23,554.02 = 4,609.46 : x
  2. Step 2: Convert to fraction form
    15,702.59/23,554.02 = 4,609.46/x
  3. Step 3: Cross multiply
    15,702.59x = 23,554.02 × 4,609.46
  4. Step 4: Simplify right side
    15,702.59x = 108,571,313.03
  5. Step 5: Solve for x
    x = 108,571,313.03/15,702.59
  6. Step 6: Final answer
    x = 6,914.23

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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.