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Finding the Fourth Proportional to 13,118.44, 19,681.14 and 5,323

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Solution

The fourth proportional to 13,118.44, 19,681.14 and 5,323 is: 7,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.44 : 19,681.14 = 5,323 : x
  2. Step 2: Convert to fraction form
    13,118.44/19,681.14 = 5,323/x
  3. Step 3: Cross multiply
    13,118.44x = 19,681.14 × 5,323
  4. Step 4: Simplify right side
    13,118.44x = 104,762,708.22
  5. Step 5: Solve for x
    x = 104,762,708.22/13,118.44
  6. Step 6: Final answer
    x = 7,985.91

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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.