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Finding the Fourth Proportional to 19,862.63, 29,790.01 and 9,856.93

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Solution

The fourth proportional to 19,862.63, 29,790.01 and 9,856.93 is: 14,783.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.63 : 29,790.01 = 9,856.93 : x
  2. Step 2: Convert to fraction form
    19,862.63/29,790.01 = 9,856.93/x
  3. Step 3: Cross multiply
    19,862.63x = 29,790.01 × 9,856.93
  4. Step 4: Simplify right side
    19,862.63x = 293,638,093.10
  5. Step 5: Solve for x
    x = 293,638,093.10/19,862.63
  6. Step 6: Final answer
    x = 14,783.44

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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.