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Finding the Fourth Proportional to 17,152, 25,730.02 and 6,056.34

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Solution

The fourth proportional to 17,152, 25,730.02 and 6,056.34 is: 9,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,152 : 25,730.02 = 6,056.34 : x
  2. Step 2: Convert to fraction form
    17,152/25,730.02 = 6,056.34/x
  3. Step 3: Cross multiply
    17,152x = 25,730.02 × 6,056.34
  4. Step 4: Simplify right side
    17,152x = 155,829,749.33
  5. Step 5: Solve for x
    x = 155,829,749.33/17,152
  6. Step 6: Final answer
    x = 9,085.22

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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.