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Finding the Fourth Proportional to 14,149.64, 19,526.72 and 7,862.01

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Solution

The fourth proportional to 14,149.64, 19,526.72 and 7,862.01 is: 10,849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.64 : 19,526.72 = 7,862.01 : x
  2. Step 2: Convert to fraction form
    14,149.64/19,526.72 = 7,862.01/x
  3. Step 3: Cross multiply
    14,149.64x = 19,526.72 × 7,862.01
  4. Step 4: Simplify right side
    14,149.64x = 153,519,228.60
  5. Step 5: Solve for x
    x = 153,519,228.60/14,149.64
  6. Step 6: Final answer
    x = 10,849.70

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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.