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Finding the Fourth Proportional to 13,862.25, 19,130.04 and 7,574.76

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Solution

The fourth proportional to 13,862.25, 19,130.04 and 7,574.76 is: 10,453.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.25 : 19,130.04 = 7,574.76 : x
  2. Step 2: Convert to fraction form
    13,862.25/19,130.04 = 7,574.76/x
  3. Step 3: Cross multiply
    13,862.25x = 19,130.04 × 7,574.76
  4. Step 4: Simplify right side
    13,862.25x = 144,905,461.79
  5. Step 5: Solve for x
    x = 144,905,461.79/13,862.25
  6. Step 6: Final answer
    x = 10,453.24

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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.