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Finding the Fourth Proportional to 13,904.32, 19,187.99 and 7,530.93

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Solution

The fourth proportional to 13,904.32, 19,187.99 and 7,530.93 is: 10,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.32 : 19,187.99 = 7,530.93 : x
  2. Step 2: Convert to fraction form
    13,904.32/19,187.99 = 7,530.93/x
  3. Step 3: Cross multiply
    13,904.32x = 19,187.99 × 7,530.93
  4. Step 4: Simplify right side
    13,904.32x = 144,503,275.94
  5. Step 5: Solve for x
    x = 144,503,275.94/13,904.32
  6. Step 6: Final answer
    x = 10,392.69

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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.