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Finding the Fourth Proportional to 13,038.51, 17,991.14 and 8,564.07

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Solution

The fourth proportional to 13,038.51, 17,991.14 and 8,564.07 is: 11,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.51 : 17,991.14 = 8,564.07 : x
  2. Step 2: Convert to fraction form
    13,038.51/17,991.14 = 8,564.07/x
  3. Step 3: Cross multiply
    13,038.51x = 17,991.14 × 8,564.07
  4. Step 4: Simplify right side
    13,038.51x = 154,077,339.52
  5. Step 5: Solve for x
    x = 154,077,339.52/13,038.51
  6. Step 6: Final answer
    x = 11,817.10

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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.