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Finding the Fourth Proportional to 14,527.83, 21,798.95 and 5,762.55

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Solution

The fourth proportional to 14,527.83, 21,798.95 and 5,762.55 is: 8,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,527.83 : 21,798.95 = 5,762.55 : x
  2. Step 2: Convert to fraction form
    14,527.83/21,798.95 = 5,762.55/x
  3. Step 3: Cross multiply
    14,527.83x = 21,798.95 × 5,762.55
  4. Step 4: Simplify right side
    14,527.83x = 125,617,539.32
  5. Step 5: Solve for x
    x = 125,617,539.32/14,527.83
  6. Step 6: Final answer
    x = 8,646.68

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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.