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Finding the Fourth Proportional to 16,802.76, 23,182.58 and 9,533.65

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Solution

The fourth proportional to 16,802.76, 23,182.58 and 9,533.65 is: 13,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.76 : 23,182.58 = 9,533.65 : x
  2. Step 2: Convert to fraction form
    16,802.76/23,182.58 = 9,533.65/x
  3. Step 3: Cross multiply
    16,802.76x = 23,182.58 × 9,533.65
  4. Step 4: Simplify right side
    16,802.76x = 221,014,569.69
  5. Step 5: Solve for x
    x = 221,014,569.69/16,802.76
  6. Step 6: Final answer
    x = 13,153.47

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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.