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Finding the Fourth Proportional to 13,417.12, 18,502.74 and 8,038.72

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Solution

The fourth proportional to 13,417.12, 18,502.74 and 8,038.72 is: 11,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.12 : 18,502.74 = 8,038.72 : x
  2. Step 2: Convert to fraction form
    13,417.12/18,502.74 = 8,038.72/x
  3. Step 3: Cross multiply
    13,417.12x = 18,502.74 × 8,038.72
  4. Step 4: Simplify right side
    13,417.12x = 148,738,346.09
  5. Step 5: Solve for x
    x = 148,738,346.09/13,417.12
  6. Step 6: Final answer
    x = 11,085.71

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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.