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Finding the Fourth Proportional to 14,347.64, 21,527 and 4,988.63

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Solution

The fourth proportional to 14,347.64, 21,527 and 4,988.63 is: 7,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.64 : 21,527 = 4,988.63 : x
  2. Step 2: Convert to fraction form
    14,347.64/21,527 = 4,988.63/x
  3. Step 3: Cross multiply
    14,347.64x = 21,527 × 4,988.63
  4. Step 4: Simplify right side
    14,347.64x = 107,390,238.01
  5. Step 5: Solve for x
    x = 107,390,238.01/14,347.64
  6. Step 6: Final answer
    x = 7,484.87

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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.