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Finding the Fourth Proportional to 12,802.40, 19,206.30 and 7,258.40

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Solution

The fourth proportional to 12,802.40, 19,206.30 and 7,258.40 is: 10,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.40 : 19,206.30 = 7,258.40 : x
  2. Step 2: Convert to fraction form
    12,802.40/19,206.30 = 7,258.40/x
  3. Step 3: Cross multiply
    12,802.40x = 19,206.30 × 7,258.40
  4. Step 4: Simplify right side
    12,802.40x = 139,407,007.92
  5. Step 5: Solve for x
    x = 139,407,007.92/12,802.40
  6. Step 6: Final answer
    x = 10,889.13

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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.