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Finding the Fourth Proportional to 13,277.32, 18,322.76 and 7,612.40

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Solution

The fourth proportional to 13,277.32, 18,322.76 and 7,612.40 is: 10,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.32 : 18,322.76 = 7,612.40 : x
  2. Step 2: Convert to fraction form
    13,277.32/18,322.76 = 7,612.40/x
  3. Step 3: Cross multiply
    13,277.32x = 18,322.76 × 7,612.40
  4. Step 4: Simplify right side
    13,277.32x = 139,480,097.18
  5. Step 5: Solve for x
    x = 139,480,097.18/13,277.32
  6. Step 6: Final answer
    x = 10,505.14

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