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Finding the Fourth Proportional to 19,784.88, 27,302.06 and 10,830.65

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Solution

The fourth proportional to 19,784.88, 27,302.06 and 10,830.65 is: 14,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.88 : 27,302.06 = 10,830.65 : x
  2. Step 2: Convert to fraction form
    19,784.88/27,302.06 = 10,830.65/x
  3. Step 3: Cross multiply
    19,784.88x = 27,302.06 × 10,830.65
  4. Step 4: Simplify right side
    19,784.88x = 295,698,865.48
  5. Step 5: Solve for x
    x = 295,698,865.48/19,784.88
  6. Step 6: Final answer
    x = 14,945.70

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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.