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Finding the Fourth Proportional to 12,533.60, 17,257 and 10,641.26

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Solution

The fourth proportional to 12,533.60, 17,257 and 10,641.26 is: 14,651.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.60 : 17,257 = 10,641.26 : x
  2. Step 2: Convert to fraction form
    12,533.60/17,257 = 10,641.26/x
  3. Step 3: Cross multiply
    12,533.60x = 17,257 × 10,641.26
  4. Step 4: Simplify right side
    12,533.60x = 183,636,223.82
  5. Step 5: Solve for x
    x = 183,636,223.82/12,533.60
  6. Step 6: Final answer
    x = 14,651.51

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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.