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Finding the Fourth Proportional to 13,509.60, 18,643.60 and 7,541.24

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Solution

The fourth proportional to 13,509.60, 18,643.60 and 7,541.24 is: 10,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.60 : 18,643.60 = 7,541.24 : x
  2. Step 2: Convert to fraction form
    13,509.60/18,643.60 = 7,541.24/x
  3. Step 3: Cross multiply
    13,509.60x = 18,643.60 × 7,541.24
  4. Step 4: Simplify right side
    13,509.60x = 140,595,862.06
  5. Step 5: Solve for x
    x = 140,595,862.06/13,509.60
  6. Step 6: Final answer
    x = 10,407.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.