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Finding the Fourth Proportional to 15,706.90, 23,568.32 and 10,445.57

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Solution

The fourth proportional to 15,706.90, 23,568.32 and 10,445.57 is: 15,673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.90 : 23,568.32 = 10,445.57 : x
  2. Step 2: Convert to fraction form
    15,706.90/23,568.32 = 10,445.57/x
  3. Step 3: Cross multiply
    15,706.90x = 23,568.32 × 10,445.57
  4. Step 4: Simplify right side
    15,706.90x = 246,184,536.34
  5. Step 5: Solve for x
    x = 246,184,536.34/15,706.90
  6. Step 6: Final answer
    x = 15,673.66

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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.