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Finding the Fourth Proportional to 11,756.34, 17,569.44 and 9,567.72

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Solution

The fourth proportional to 11,756.34, 17,569.44 and 9,567.72 is: 14,298.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.34 : 17,569.44 = 9,567.72 : x
  2. Step 2: Convert to fraction form
    11,756.34/17,569.44 = 9,567.72/x
  3. Step 3: Cross multiply
    11,756.34x = 17,569.44 × 9,567.72
  4. Step 4: Simplify right side
    11,756.34x = 168,099,482.48
  5. Step 5: Solve for x
    x = 168,099,482.48/11,756.34
  6. Step 6: Final answer
    x = 14,298.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.