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Finding the Fourth Proportional to 14,566.40, 21,851.76 and 4,703.84

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Solution

The fourth proportional to 14,566.40, 21,851.76 and 4,703.84 is: 7,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.40 : 21,851.76 = 4,703.84 : x
  2. Step 2: Convert to fraction form
    14,566.40/21,851.76 = 4,703.84/x
  3. Step 3: Cross multiply
    14,566.40x = 21,851.76 × 4,703.84
  4. Step 4: Simplify right side
    14,566.40x = 102,787,182.76
  5. Step 5: Solve for x
    x = 102,787,182.76/14,566.40
  6. Step 6: Final answer
    x = 7,056.46

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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.