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Finding the Fourth Proportional to 15,675.75, 23,509.98 and 4,580.10

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Solution

The fourth proportional to 15,675.75, 23,509.98 and 4,580.10 is: 6,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.75 : 23,509.98 = 4,580.10 : x
  2. Step 2: Convert to fraction form
    15,675.75/23,509.98 = 4,580.10/x
  3. Step 3: Cross multiply
    15,675.75x = 23,509.98 × 4,580.10
  4. Step 4: Simplify right side
    15,675.75x = 107,678,059.40
  5. Step 5: Solve for x
    x = 107,678,059.40/15,675.75
  6. Step 6: Final answer
    x = 6,869.09

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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.