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Finding the Fourth Proportional to 13,085.32, 19,595.16 and 7,817.08

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Solution

The fourth proportional to 13,085.32, 19,595.16 and 7,817.08 is: 11,706.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.32 : 19,595.16 = 7,817.08 : x
  2. Step 2: Convert to fraction form
    13,085.32/19,595.16 = 7,817.08/x
  3. Step 3: Cross multiply
    13,085.32x = 19,595.16 × 7,817.08
  4. Step 4: Simplify right side
    13,085.32x = 153,176,933.33
  5. Step 5: Solve for x
    x = 153,176,933.33/13,085.32
  6. Step 6: Final answer
    x = 11,706.01

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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.