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Finding the Fourth Proportional to 28,552.53, 42,831.65 and 9,830.09

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Solution

The fourth proportional to 28,552.53, 42,831.65 and 9,830.09 is: 14,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,552.53 : 42,831.65 = 9,830.09 : x
  2. Step 2: Convert to fraction form
    28,552.53/42,831.65 = 9,830.09/x
  3. Step 3: Cross multiply
    28,552.53x = 42,831.65 × 9,830.09
  4. Step 4: Simplify right side
    28,552.53x = 421,038,974.35
  5. Step 5: Solve for x
    x = 421,038,974.35/28,552.53
  6. Step 6: Final answer
    x = 14,746.12

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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.