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Finding the Fourth Proportional to 12,657.51, 17,460.54 and 9,667.98

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Solution

The fourth proportional to 12,657.51, 17,460.54 and 9,667.98 is: 13,336.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.51 : 17,460.54 = 9,667.98 : x
  2. Step 2: Convert to fraction form
    12,657.51/17,460.54 = 9,667.98/x
  3. Step 3: Cross multiply
    12,657.51x = 17,460.54 × 9,667.98
  4. Step 4: Simplify right side
    12,657.51x = 168,808,151.51
  5. Step 5: Solve for x
    x = 168,808,151.51/12,657.51
  6. Step 6: Final answer
    x = 13,336.60

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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.