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Finding the Fourth Proportional to 25,572, 38,271.12 and 15,706.08

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Solution

The fourth proportional to 25,572, 38,271.12 and 15,706.08 is: 23,505.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572 : 38,271.12 = 15,706.08 : x
  2. Step 2: Convert to fraction form
    25,572/38,271.12 = 15,706.08/x
  3. Step 3: Cross multiply
    25,572x = 38,271.12 × 15,706.08
  4. Step 4: Simplify right side
    25,572x = 601,089,272.41
  5. Step 5: Solve for x
    x = 601,089,272.41/25,572
  6. Step 6: Final answer
    x = 23,505.76

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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.