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Finding the Fourth Proportional to 13,477.39, 18,598.61 and 7,509.31

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Solution

The fourth proportional to 13,477.39, 18,598.61 and 7,509.31 is: 10,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,477.39 : 18,598.61 = 7,509.31 : x
  2. Step 2: Convert to fraction form
    13,477.39/18,598.61 = 7,509.31/x
  3. Step 3: Cross multiply
    13,477.39x = 18,598.61 × 7,509.31
  4. Step 4: Simplify right side
    13,477.39x = 139,662,700.34
  5. Step 5: Solve for x
    x = 139,662,700.34/13,477.39
  6. Step 6: Final answer
    x = 10,362.74

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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.