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Finding the Fourth Proportional to 14,280.76, 19,707.47 and 7,820.37

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Solution

The fourth proportional to 14,280.76, 19,707.47 and 7,820.37 is: 10,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280.76 : 19,707.47 = 7,820.37 : x
  2. Step 2: Convert to fraction form
    14,280.76/19,707.47 = 7,820.37/x
  3. Step 3: Cross multiply
    14,280.76x = 19,707.47 × 7,820.37
  4. Step 4: Simplify right side
    14,280.76x = 154,119,726.71
  5. Step 5: Solve for x
    x = 154,119,726.71/14,280.76
  6. Step 6: Final answer
    x = 10,792.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.