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Finding the Fourth Proportional to 13,643.51, 20,458.71 and 4,876.34

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Solution

The fourth proportional to 13,643.51, 20,458.71 and 4,876.34 is: 7,312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643.51 : 20,458.71 = 4,876.34 : x
  2. Step 2: Convert to fraction form
    13,643.51/20,458.71 = 4,876.34/x
  3. Step 3: Cross multiply
    13,643.51x = 20,458.71 × 4,876.34
  4. Step 4: Simplify right side
    13,643.51x = 99,763,523.63
  5. Step 5: Solve for x
    x = 99,763,523.63/13,643.51
  6. Step 6: Final answer
    x = 7,312.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.