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Finding the Fourth Proportional to 14,206.57, 19,605.93 and 7,833.16

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Solution

The fourth proportional to 14,206.57, 19,605.93 and 7,833.16 is: 10,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.57 : 19,605.93 = 7,833.16 : x
  2. Step 2: Convert to fraction form
    14,206.57/19,605.93 = 7,833.16/x
  3. Step 3: Cross multiply
    14,206.57x = 19,605.93 × 7,833.16
  4. Step 4: Simplify right side
    14,206.57x = 153,576,386.64
  5. Step 5: Solve for x
    x = 153,576,386.64/14,206.57
  6. Step 6: Final answer
    x = 10,810.24

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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.