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Finding the Fourth Proportional to 13,005.60, 19,537.20 and 9,117.60

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Solution

The fourth proportional to 13,005.60, 19,537.20 and 9,117.60 is: 13,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.60 : 19,537.20 = 9,117.60 : x
  2. Step 2: Convert to fraction form
    13,005.60/19,537.20 = 9,117.60/x
  3. Step 3: Cross multiply
    13,005.60x = 19,537.20 × 9,117.60
  4. Step 4: Simplify right side
    13,005.60x = 178,132,374.72
  5. Step 5: Solve for x
    x = 178,132,374.72/13,005.60
  6. Step 6: Final answer
    x = 13,696.59

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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.