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Finding the Fourth Proportional to 13,931.63, 19,225.98 and 7,644

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Solution

The fourth proportional to 13,931.63, 19,225.98 and 7,644 is: 10,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.63 : 19,225.98 = 7,644 : x
  2. Step 2: Convert to fraction form
    13,931.63/19,225.98 = 7,644/x
  3. Step 3: Cross multiply
    13,931.63x = 19,225.98 × 7,644
  4. Step 4: Simplify right side
    13,931.63x = 146,963,391.12
  5. Step 5: Solve for x
    x = 146,963,391.12/13,931.63
  6. Step 6: Final answer
    x = 10,548.91

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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.