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Finding the Fourth Proportional to 15,746.50, 23,623.59 and 4,802.50

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Solution

The fourth proportional to 15,746.50, 23,623.59 and 4,802.50 is: 7,204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.50 : 23,623.59 = 4,802.50 : x
  2. Step 2: Convert to fraction form
    15,746.50/23,623.59 = 4,802.50/x
  3. Step 3: Cross multiply
    15,746.50x = 23,623.59 × 4,802.50
  4. Step 4: Simplify right side
    15,746.50x = 113,452,290.98
  5. Step 5: Solve for x
    x = 113,452,290.98/15,746.50
  6. Step 6: Final answer
    x = 7,204.92

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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.