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Finding the Fourth Proportional to 13,133.84, 19,693.38 and 4,364.08

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Solution

The fourth proportional to 13,133.84, 19,693.38 and 4,364.08 is: 6,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.84 : 19,693.38 = 4,364.08 : x
  2. Step 2: Convert to fraction form
    13,133.84/19,693.38 = 4,364.08/x
  3. Step 3: Cross multiply
    13,133.84x = 19,693.38 × 4,364.08
  4. Step 4: Simplify right side
    13,133.84x = 85,943,485.79
  5. Step 5: Solve for x
    x = 85,943,485.79/13,133.84
  6. Step 6: Final answer
    x = 6,543.67

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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.