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Finding the Fourth Proportional to 13,038.34, 17,988.19 and 8,564.50

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Solution

The fourth proportional to 13,038.34, 17,988.19 and 8,564.50 is: 11,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.34 : 17,988.19 = 8,564.50 : x
  2. Step 2: Convert to fraction form
    13,038.34/17,988.19 = 8,564.50/x
  3. Step 3: Cross multiply
    13,038.34x = 17,988.19 × 8,564.50
  4. Step 4: Simplify right side
    13,038.34x = 154,059,853.26
  5. Step 5: Solve for x
    x = 154,059,853.26/13,038.34
  6. Step 6: Final answer
    x = 11,815.91

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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.