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Finding the Fourth Proportional to 15,737.34, 23,602.39 and 4,492.47

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Solution

The fourth proportional to 15,737.34, 23,602.39 and 4,492.47 is: 6,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.34 : 23,602.39 = 4,492.47 : x
  2. Step 2: Convert to fraction form
    15,737.34/23,602.39 = 4,492.47/x
  3. Step 3: Cross multiply
    15,737.34x = 23,602.39 × 4,492.47
  4. Step 4: Simplify right side
    15,737.34x = 106,033,106.28
  5. Step 5: Solve for x
    x = 106,033,106.28/15,737.34
  6. Step 6: Final answer
    x = 6,737.67

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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.