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Finding the Fourth Proportional to 14,948.76, 22,417.92 and 4,416

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Solution

The fourth proportional to 14,948.76, 22,417.92 and 4,416 is: 6,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,948.76 : 22,417.92 = 4,416 : x
  2. Step 2: Convert to fraction form
    14,948.76/22,417.92 = 4,416/x
  3. Step 3: Cross multiply
    14,948.76x = 22,417.92 × 4,416
  4. Step 4: Simplify right side
    14,948.76x = 98,997,534.72
  5. Step 5: Solve for x
    x = 98,997,534.72/14,948.76
  6. Step 6: Final answer
    x = 6,622.46

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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.