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Finding the Fourth Proportional to 12,564.80, 17,341.60 and 7,258.72

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Solution

The fourth proportional to 12,564.80, 17,341.60 and 7,258.72 is: 10,018.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.80 : 17,341.60 = 7,258.72 : x
  2. Step 2: Convert to fraction form
    12,564.80/17,341.60 = 7,258.72/x
  3. Step 3: Cross multiply
    12,564.80x = 17,341.60 × 7,258.72
  4. Step 4: Simplify right side
    12,564.80x = 125,877,818.75
  5. Step 5: Solve for x
    x = 125,877,818.75/12,564.80
  6. Step 6: Final answer
    x = 10,018.29

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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.