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Finding the Fourth Proportional to 14,905.76, 20,569.55 and 8,192.07

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Solution

The fourth proportional to 14,905.76, 20,569.55 and 8,192.07 is: 11,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.76 : 20,569.55 = 8,192.07 : x
  2. Step 2: Convert to fraction form
    14,905.76/20,569.55 = 8,192.07/x
  3. Step 3: Cross multiply
    14,905.76x = 20,569.55 × 8,192.07
  4. Step 4: Simplify right side
    14,905.76x = 168,507,152.51
  5. Step 5: Solve for x
    x = 168,507,152.51/14,905.76
  6. Step 6: Final answer
    x = 11,304.84

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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.