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Finding the Fourth Proportional to 19,357.61, 29,036.38 and 12,782.25

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Solution

The fourth proportional to 19,357.61, 29,036.38 and 12,782.25 is: 19,173.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,357.61 : 29,036.38 = 12,782.25 : x
  2. Step 2: Convert to fraction form
    19,357.61/29,036.38 = 12,782.25/x
  3. Step 3: Cross multiply
    19,357.61x = 29,036.38 × 12,782.25
  4. Step 4: Simplify right side
    19,357.61x = 371,150,268.26
  5. Step 5: Solve for x
    x = 371,150,268.26/19,357.61
  6. Step 6: Final answer
    x = 19,173.35

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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.