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Finding the Fourth Proportional to 14,646.01, 21,969.69 and 4,785.34

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Solution

The fourth proportional to 14,646.01, 21,969.69 and 4,785.34 is: 7,178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.01 : 21,969.69 = 4,785.34 : x
  2. Step 2: Convert to fraction form
    14,646.01/21,969.69 = 4,785.34/x
  3. Step 3: Cross multiply
    14,646.01x = 21,969.69 × 4,785.34
  4. Step 4: Simplify right side
    14,646.01x = 105,132,436.34
  5. Step 5: Solve for x
    x = 105,132,436.34/14,646.01
  6. Step 6: Final answer
    x = 7,178.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.