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Finding the Fourth Proportional to 19,854.09, 29,803.01 and 13,533.66

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Solution

The fourth proportional to 19,854.09, 29,803.01 and 13,533.66 is: 20,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.09 : 29,803.01 = 13,533.66 : x
  2. Step 2: Convert to fraction form
    19,854.09/29,803.01 = 13,533.66/x
  3. Step 3: Cross multiply
    19,854.09x = 29,803.01 × 13,533.66
  4. Step 4: Simplify right side
    19,854.09x = 403,343,736.65
  5. Step 5: Solve for x
    x = 403,343,736.65/19,854.09
  6. Step 6: Final answer
    x = 20,315.40

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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.