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Finding the Fourth Proportional to 15,762.94, 23,647.87 and 4,670.50

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Solution

The fourth proportional to 15,762.94, 23,647.87 and 4,670.50 is: 7,006.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,762.94 : 23,647.87 = 4,670.50 : x
  2. Step 2: Convert to fraction form
    15,762.94/23,647.87 = 4,670.50/x
  3. Step 3: Cross multiply
    15,762.94x = 23,647.87 × 4,670.50
  4. Step 4: Simplify right side
    15,762.94x = 110,447,258.60
  5. Step 5: Solve for x
    x = 110,447,258.60/15,762.94
  6. Step 6: Final answer
    x = 7,006.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.