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Finding the Fourth Proportional to 15,307.68, 22,970.30 and 5,946.50

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Solution

The fourth proportional to 15,307.68, 22,970.30 and 5,946.50 is: 8,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,307.68 : 22,970.30 = 5,946.50 : x
  2. Step 2: Convert to fraction form
    15,307.68/22,970.30 = 5,946.50/x
  3. Step 3: Cross multiply
    15,307.68x = 22,970.30 × 5,946.50
  4. Step 4: Simplify right side
    15,307.68x = 136,592,820.88
  5. Step 5: Solve for x
    x = 136,592,820.88/15,307.68
  6. Step 6: Final answer
    x = 8,923.15

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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.