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Finding the Fourth Proportional to 13,526.71, 18,666.95 and 7,558.63

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Solution

The fourth proportional to 13,526.71, 18,666.95 and 7,558.63 is: 10,430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.71 : 18,666.95 = 7,558.63 : x
  2. Step 2: Convert to fraction form
    13,526.71/18,666.95 = 7,558.63/x
  3. Step 3: Cross multiply
    13,526.71x = 18,666.95 × 7,558.63
  4. Step 4: Simplify right side
    13,526.71x = 141,096,483.82
  5. Step 5: Solve for x
    x = 141,096,483.82/13,526.71
  6. Step 6: Final answer
    x = 10,430.96

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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.