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Finding the Fourth Proportional to 14,118.48, 19,483.51 and 7,830.86

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Solution

The fourth proportional to 14,118.48, 19,483.51 and 7,830.86 is: 10,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.48 : 19,483.51 = 7,830.86 : x
  2. Step 2: Convert to fraction form
    14,118.48/19,483.51 = 7,830.86/x
  3. Step 3: Cross multiply
    14,118.48x = 19,483.51 × 7,830.86
  4. Step 4: Simplify right side
    14,118.48x = 152,572,551.49
  5. Step 5: Solve for x
    x = 152,572,551.49/14,118.48
  6. Step 6: Final answer
    x = 10,806.58

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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.