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Finding the Fourth Proportional to 15,582.67, 23,360.99 and 7,258.40

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Solution

The fourth proportional to 15,582.67, 23,360.99 and 7,258.40 is: 10,881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.67 : 23,360.99 = 7,258.40 : x
  2. Step 2: Convert to fraction form
    15,582.67/23,360.99 = 7,258.40/x
  3. Step 3: Cross multiply
    15,582.67x = 23,360.99 × 7,258.40
  4. Step 4: Simplify right side
    15,582.67x = 169,563,409.82
  5. Step 5: Solve for x
    x = 169,563,409.82/15,582.67
  6. Step 6: Final answer
    x = 10,881.54

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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.