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Finding the Fourth Proportional to 14,085.53, 19,437.84 and 7,712.04

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Solution

The fourth proportional to 14,085.53, 19,437.84 and 7,712.04 is: 10,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,085.53 : 19,437.84 = 7,712.04 : x
  2. Step 2: Convert to fraction form
    14,085.53/19,437.84 = 7,712.04/x
  3. Step 3: Cross multiply
    14,085.53x = 19,437.84 × 7,712.04
  4. Step 4: Simplify right side
    14,085.53x = 149,905,399.59
  5. Step 5: Solve for x
    x = 149,905,399.59/14,085.53
  6. Step 6: Final answer
    x = 10,642.51

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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.