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Finding the Fourth Proportional to 17,669.94, 24,384.45 and 9,712.50

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Solution

The fourth proportional to 17,669.94, 24,384.45 and 9,712.50 is: 13,403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,669.94 : 24,384.45 = 9,712.50 : x
  2. Step 2: Convert to fraction form
    17,669.94/24,384.45 = 9,712.50/x
  3. Step 3: Cross multiply
    17,669.94x = 24,384.45 × 9,712.50
  4. Step 4: Simplify right side
    17,669.94x = 236,833,970.63
  5. Step 5: Solve for x
    x = 236,833,970.63/17,669.94
  6. Step 6: Final answer
    x = 13,403.21

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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.