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Finding the Fourth Proportional to 16,802.84, 23,188.23 and 9,733.35

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Solution

The fourth proportional to 16,802.84, 23,188.23 and 9,733.35 is: 13,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.84 : 23,188.23 = 9,733.35 : x
  2. Step 2: Convert to fraction form
    16,802.84/23,188.23 = 9,733.35/x
  3. Step 3: Cross multiply
    16,802.84x = 23,188.23 × 9,733.35
  4. Step 4: Simplify right side
    16,802.84x = 225,699,158.47
  5. Step 5: Solve for x
    x = 225,699,158.47/16,802.84
  6. Step 6: Final answer
    x = 13,432.20

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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.