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Finding the Fourth Proportional to 13,033.35, 19,547.02 and 7,769.84

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Solution

The fourth proportional to 13,033.35, 19,547.02 and 7,769.84 is: 11,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,033.35 : 19,547.02 = 7,769.84 : x
  2. Step 2: Convert to fraction form
    13,033.35/19,547.02 = 7,769.84/x
  3. Step 3: Cross multiply
    13,033.35x = 19,547.02 × 7,769.84
  4. Step 4: Simplify right side
    13,033.35x = 151,877,239.81
  5. Step 5: Solve for x
    x = 151,877,239.81/13,033.35
  6. Step 6: Final answer
    x = 11,652.97

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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.