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Finding the Fourth Proportional to 13,277.60, 19,916.40 and 9,130.40

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Solution

The fourth proportional to 13,277.60, 19,916.40 and 9,130.40 is: 13,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.60 : 19,916.40 = 9,130.40 : x
  2. Step 2: Convert to fraction form
    13,277.60/19,916.40 = 9,130.40/x
  3. Step 3: Cross multiply
    13,277.60x = 19,916.40 × 9,130.40
  4. Step 4: Simplify right side
    13,277.60x = 181,844,698.56
  5. Step 5: Solve for x
    x = 181,844,698.56/13,277.60
  6. Step 6: Final answer
    x = 13,695.60

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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.