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Finding the Fourth Proportional to 14,560.95, 21,838.69 and 4,700.32

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Solution

The fourth proportional to 14,560.95, 21,838.69 and 4,700.32 is: 7,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.95 : 21,838.69 = 4,700.32 : x
  2. Step 2: Convert to fraction form
    14,560.95/21,838.69 = 4,700.32/x
  3. Step 3: Cross multiply
    14,560.95x = 21,838.69 × 4,700.32
  4. Step 4: Simplify right side
    14,560.95x = 102,648,831.38
  5. Step 5: Solve for x
    x = 102,648,831.38/14,560.95
  6. Step 6: Final answer
    x = 7,049.60

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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.