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Finding the Fourth Proportional to 13,832.16, 19,088.64 and 7,544.76

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Solution

The fourth proportional to 13,832.16, 19,088.64 and 7,544.76 is: 10,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.16 : 19,088.64 = 7,544.76 : x
  2. Step 2: Convert to fraction form
    13,832.16/19,088.64 = 7,544.76/x
  3. Step 3: Cross multiply
    13,832.16x = 19,088.64 × 7,544.76
  4. Step 4: Simplify right side
    13,832.16x = 144,019,207.53
  5. Step 5: Solve for x
    x = 144,019,207.53/13,832.16
  6. Step 6: Final answer
    x = 10,411.91

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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.