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Finding the Fourth Proportional to 17,670.15, 24,385.20 and 9,712.50

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Solution

The fourth proportional to 17,670.15, 24,385.20 and 9,712.50 is: 13,403.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.15 : 24,385.20 = 9,712.50 : x
  2. Step 2: Convert to fraction form
    17,670.15/24,385.20 = 9,712.50/x
  3. Step 3: Cross multiply
    17,670.15x = 24,385.20 × 9,712.50
  4. Step 4: Simplify right side
    17,670.15x = 236,841,255
  5. Step 5: Solve for x
    x = 236,841,255/17,670.15
  6. Step 6: Final answer
    x = 13,403.47

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