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Finding the Fourth Proportional to 19,032.50, 26,264.94 and 10,649

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Solution

The fourth proportional to 19,032.50, 26,264.94 and 10,649 is: 14,695.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,032.50 : 26,264.94 = 10,649 : x
  2. Step 2: Convert to fraction form
    19,032.50/26,264.94 = 10,649/x
  3. Step 3: Cross multiply
    19,032.50x = 26,264.94 × 10,649
  4. Step 4: Simplify right side
    19,032.50x = 279,695,346.06
  5. Step 5: Solve for x
    x = 279,695,346.06/19,032.50
  6. Step 6: Final answer
    x = 14,695.67

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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.