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Finding the Fourth Proportional to 14,813.58, 22,225.53 and 6,492.50

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Solution

The fourth proportional to 14,813.58, 22,225.53 and 6,492.50 is: 9,741.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.58 : 22,225.53 = 6,492.50 : x
  2. Step 2: Convert to fraction form
    14,813.58/22,225.53 = 6,492.50/x
  3. Step 3: Cross multiply
    14,813.58x = 22,225.53 × 6,492.50
  4. Step 4: Simplify right side
    14,813.58x = 144,299,142.40
  5. Step 5: Solve for x
    x = 144,299,142.40/14,813.58
  6. Step 6: Final answer
    x = 9,741.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.