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Finding the Fourth Proportional to 19,810.26, 29,699.04 and 9,275.16

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Solution

The fourth proportional to 19,810.26, 29,699.04 and 9,275.16 is: 13,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810.26 : 29,699.04 = 9,275.16 : x
  2. Step 2: Convert to fraction form
    19,810.26/29,699.04 = 9,275.16/x
  3. Step 3: Cross multiply
    19,810.26x = 29,699.04 × 9,275.16
  4. Step 4: Simplify right side
    19,810.26x = 275,463,347.85
  5. Step 5: Solve for x
    x = 275,463,347.85/19,810.26
  6. Step 6: Final answer
    x = 13,905.08

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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.