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Finding the Fourth Proportional to 17,604, 24,294.60 and 10,152

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Solution

The fourth proportional to 17,604, 24,294.60 and 10,152 is: 14,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604 : 24,294.60 = 10,152 : x
  2. Step 2: Convert to fraction form
    17,604/24,294.60 = 10,152/x
  3. Step 3: Cross multiply
    17,604x = 24,294.60 × 10,152
  4. Step 4: Simplify right side
    17,604x = 246,638,779.20
  5. Step 5: Solve for x
    x = 246,638,779.20/17,604
  6. Step 6: Final answer
    x = 14,010.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.