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Finding the Fourth Proportional to 14,274.64, 19,698.32 and 7,901.12

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Solution

The fourth proportional to 14,274.64, 19,698.32 and 7,901.12 is: 10,903.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.64 : 19,698.32 = 7,901.12 : x
  2. Step 2: Convert to fraction form
    14,274.64/19,698.32 = 7,901.12/x
  3. Step 3: Cross multiply
    14,274.64x = 19,698.32 × 7,901.12
  4. Step 4: Simplify right side
    14,274.64x = 155,638,790.12
  5. Step 5: Solve for x
    x = 155,638,790.12/14,274.64
  6. Step 6: Final answer
    x = 10,903.17

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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.