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Finding the Fourth Proportional to 14,497.36, 21,746.04 and 7,570.24

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Solution

The fourth proportional to 14,497.36, 21,746.04 and 7,570.24 is: 11,355.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.36 : 21,746.04 = 7,570.24 : x
  2. Step 2: Convert to fraction form
    14,497.36/21,746.04 = 7,570.24/x
  3. Step 3: Cross multiply
    14,497.36x = 21,746.04 × 7,570.24
  4. Step 4: Simplify right side
    14,497.36x = 164,622,741.85
  5. Step 5: Solve for x
    x = 164,622,741.85/14,497.36
  6. Step 6: Final answer
    x = 11,355.36

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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.